SOLUTION: Use the elimination method to solve the given system of equations. Please show all work 7x + 2y = 10 -7x + y = -16

Question 864305: Use the elimination method to solve the given system of equations. Please show all work
7x + 2y = 10
-7x + y = -16
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Add the equations

7x + 2y = 10
-7x + y = -16
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0x + 3y = -6

So 3y = -6 ----> y = -2 (dividing both sides by 3)

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Now use y = -2 and any equation with x,y in it to find x

7x + 2y = 10

7x + 2(-2) = 10

7x - 4 = 10

7x = 10 + 4

7x = 14

x = 14/7

So the solutions are x = 2 and y = -2
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