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Use of Substitution to Solve the Systems of Equations

6x-y=22
y=-8
6x+22=-40
6x=-62
x=-31/3
 
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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Conny;
6x-y=22
y=-8
(6x)-(-8)=22
Subtracting a negative number is the same as adding a positive number...
6x+8=22
Let's subtract 8 from both sides...
-8+6x+8=22-8
6x=14
Let's divide both numbers by 6..
(6x)/6=14/6
x=14/6
x=7/3
Let's check our work...
6x-y=22
[(6)(7/3)]-(-8)=22
(42/3)+(8)=22
14+8=22
22=22