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3OLVE -ULTI3TEP %QUATIONS
'OAL + 3OLVE MULTISTEP EQUATIONS
9OUR .OTES
%XAMPLE 3OLVE AN EQUATION BY COMBINING LIKE TERMS
3OLVE T T 3OLUTION
T T 7RITE ORIGINAL EQUATION
Ê nÌÊ #OMBINE LIKE TERMS
Ê nÌÊ Ê xÊ Ê xÊ
Ê nÌÊ Ê £ÈÊ
nÌ
n
£È
n
T Ê ÓÊ
!DD Ê xÊ TO EACH SIDE
3IMPLIFY
$IVIDE EACH SIDE BY Ê nÊ 3IMPLIFY
4HE SOLUTION IS Ê ÓÊ %XAMPLE 3OLVE AN EQUATION USING THE DISTRIBUTIVE PROPERTY
3OLVE A A z 3OLUTION
-ETHOD -ETHOD 3HOW !LL 3TEPS
$O 3OME 3TEPS -ENTALLY
A A z A A z A Ê Î>Ê zÊ ÈÊ A Ê Î>Ê zÊ ÈÊ Ê n>Ê Ê ÈÊ Ê n>Ê Ê ÈÊ Ê
Ê
Ê
z
Ê n>ÊÊÈÊÊÈÊ Ê ÈÊ
Ê n>Ê n>
n
Ê n>Ê A Ê ÓÊ
n
A Ê ÓÊ
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
,ESSON s !LGEBRA .OTETAKING 'UIDE
9OUR .OTES
#HECKPOINT 3OLVE THE EQUATION #HECK YOUR SOLUTION
D D X X z Ê `ÊÊ{Ê
Ê
Ê
Ê
Ê ÝÊÊÎÊÊ
W z W zK zK
Ê ÜÊÊnÊ
Ê
%XAMPLE Ê
Ê ŽÊÊÓ
-ULTIPLY BY A RECIPROCAL TO SOLVE AN EQUATION
3OLVE ]zA 3OLUTION
{
{
Ê Ê|Ê]Êz Ê Ê+ÊÊ]
ÊzA Ê |]Êz Ê Ê+Ê
Î
Î
]zA Ê
Ê
A Ê £ÓÊ
A Ê xÊ Ê xÊ
A Ê £ÇÊ
7RITE ORIGINAL EQUATION
{
-ULTIPLY EACH SIDE BY Ê ]Êz Î
Ê
3IMPLIFY
!DD Ê xÊ TO EACH SIDE
3IMPLIFY
#HECKPOINT 3OLVE THE EQUATION #HECK YOUR SOLUTION
Ê
]
zX Ê ÝÊÊ{Ê
]
zY Ê ÞÊÊ{
(OMEWORK
,ESSON s !LGEBRA .OTETAKING 'UIDE
#OPYRIGHT Ú -C$OUGAL ,ITTELL(OUGHTON -IFFLIN #OMPANY
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