SOLUTION: solve the problem. x=7y+7 2x-6y=12

Question 539068: solve the problem. x=7y+7
2x-6y=12
Answer by Mathpassionate(25) (Show Source): You can put this solution on YOUR website!
solve the problem. x=7y+7
2x-6y=12

We substitute x=7y+7 into 2x-6y=12

2x-6y=12
2*(7y+7)-6y=12
(2*7y)+(2*7)-6y=12
14y+14-6y=12
14y-6y=12-14
8y=-2
y=-2/8
y=-1/4

Now, substitute y = -1/4 into x=7y+7
x=7y+7
x=7*(-1/4)+7
x = -7/4 + 7
x = -7/4 + 28/4 (because 28/4 is the same as 7, but we need common denominators (4)
x = (-7 + 28)/4
x = (21)/4
x = 21/4

Then, the answers are:

y=-1/4
x = 21/4
Any questions, please ask me.

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