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------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAADzAAAAAUAIQAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////3gA oAB4AKAA////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABAAAAC0BAAAEAAAAJwH//xwAAAD7 Avn/AAAAAAAAvAIAAAAAAEAAAEFyaWFsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAC0B AwAEAAAALgEYAAQAAAACAQEABQAAAAkCAAAAAiEAAAAyCgcAMwARAAAATGl0ZXJhbCBFcXVhdGlv bnMABAACAAIABAADAAQAAgACAAUABAAEAAQAAgACAAUABAAEAAQAAAAuAQAAHAAAAPsCEAAHAAAA AAC8AgAAAAABAgIiU3lzdGVtAAAAAAAAAAAAABgAAAABAAAAcDcVAOQEAAAEAAAALQEEAAQAAADw AQMAAwAAAAAA ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0187.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Literal Equations
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Giv= en an equation with many variables, to solve for a particular <= span style=3D'position:absolute;top:14.0%;left:4.11%;width:99.25%;height:5.25%'= >variable means to isolate that variable to one side of the equation.
Literal Equations
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Giv= en an equation with many variables, to solve for a particular <= span style=3D'position:absolute;top:14.0%;left:4.11%;width:99.25%;height:5.25%'= >variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x,
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations.
Literal Equations
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0242.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Literal Equations
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0243.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
    x       =3D= c – b
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
    x       =3D= c – b
b. Solve for w if= yw =3D 5.
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
    x       =3D= c – b
b. Solve for w if= yw =3D 5.
    Remove y from the LHS= by dividing both sides by y.
    yw =3D 5
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
    x       =3D= c – b
b. Solve for w if= yw =3D 5.
    Remove y from the LHS= by dividing both sides by y.
    yw =3D 5 <= /div>
    yw/y =3D 5/y
Literal Equations
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Given an equation with many variables, to solve for a particular variable means to isolate that variable to one side of the equation. We do this, just as solving equations in x, by  &= #13;
+, –, * , /  the same quantities to both sides= of the equations. These quantities may be numbers or variables.
Example A.
 
a. Solve for x if= x + b =3D c
    Remove b from the LHS= by subtracting from both sides
    x + b =3D c
        –b    –b
    x       =3D= c – b
b. Solve for w if= yw =3D 5.
    Remove y from the LHS= by dividing both sides by y.
    yw =3D 5 <= /div>
    yw/y =3D 5/y
    w =3D
5
y
Literal Equations
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Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
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To solve for a specific variable in a simple literal equation, do the following steps:
Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0252.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0253.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve
Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0254.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve – move all the other terms to other side of the <= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;mso-fareast-language:ZH-TW'>equation.
Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0255.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve – move all the other terms to other side of the <= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;mso-fareast-language:ZH-TW'>equation.
3.<= span style=3D'mso-spacerun:yes'>  Isolate the specific variable by dividing the rest of the factor to the other side.
Literal Equations
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0256.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve – move all the other terms to other side of the <= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;mso-fareast-language:ZH-TW'>equation.
3.<= span style=3D'mso-spacerun:yes'>  Isolate the specific variable by dividing the rest of the factor to the other side.
Literal Equations
Example B. 
a. Solve for x if= (a + b)x =3D c
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0257.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve – move all the other terms to other side of the <= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;mso-fareast-language:ZH-TW'>equation.
3.<= span style=3D'mso-spacerun:yes'>  Isolate the specific variable by dividing the rest of the factor to the other side.
Literal Equations
Example B. 
a. Solve for x if= (a + b)x =3D c
    (a + b) x =3D c
        = ;        
div the RHS= by (a + b)
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0258.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
To solve for a specific variable in a simple literal equation, do the following steps:
1.<= span style=3D'mso-spacerun:yes'>  If there are fractions in the equations, multiple by the LCD to clear the fractions.
2.  Isolate the term containing the variable we wanted to solve – move all the other terms to other side of the <= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;mso-fareast-language:ZH-TW'>equation.
3.<= span style=3D'mso-spacerun:yes'>  Isolate the specific variable by dividing the rest of the factor to the other side.
Literal Equations
Example B. 
a. Solve for x if= (a + b)x =3D c
    (a + b) x =3D c
        = ;        
x =3D
c
(a + b)
div the RHS= by (a + b)
Add= ing or subtracting a term to both sides may be viewed as moving the term across the &quo= t; =3D " and the its change.
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b. Solve for w if= 3y2w =3D t – 3
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
div the RHS= by 3y2
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
w =3D
t – 3=
   3y2
div the RHS= by 3y2
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5
w =3D
t – 3=
   3y2
div the RHS= by 3y2
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
w =3D
t – 3=
   3y2
div the RHS= by 3y2
move b2 to the RHS 
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
div the RHS= by 3y2
move b2 to the RHS 
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
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b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0265_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0265_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0266.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0266_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0266_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0267.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0267_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0267_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0268.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
ax – ay =3D 10
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0268_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0268_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0269.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
ax – ay =3D 10
subtract ax
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0269_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0269_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0270.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
ax – ay =3D 10
subtract ax
– ay =3D 10 – ax
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0270_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0270_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0271.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
ax – ay =3D 10
subtract ax
– ay =3D 10 – ax
div by –a
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0271_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0271_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0272.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
b. Solve for w if= 3y2w =3D t – 3
 
    3y2w =3D t – 3
    
        = ;     
c. Solve for a if= b2 – 4ac =3D 5 = 3;
    b2 – 4ac =3D 5
       – 4ca =3D 5 – b2
w =3D
t – 3=
   3y2
a =3D
5 – b= 2
–4c
div the RHS= by 3y2
move b2 to the RHS 
div the RHS= by –4c
Literal Equations
d. Solve for y if= a(x – y) =3D 10
a(x – y) =3D 10
expand
ax – ay =3D 10
subtract ax
– ay =3D 10 – ax
div by –a
y =3D
10 – = ax
–a
------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0272_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0272_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ AAIAgAAAAAAAAAIKjI+py+0Po5yqAAA7 ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0272_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQA/ AAEAgAAAAAAAAAIGjI+py+1cADt= ------=_NextPart_01C8E2BF.104E3190 Content-Location: file:///C:/09764A33/5literalequations_files/slide0281.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Multiply by the LCD to get rid = of the denominator then solve.
Literal Equations
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 –4 =3D
d
3d + b
Multiply by the LCD to get rid = of the denominator then solve.
Example C. 
Solve for d if
Literal Equations
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