SOLUTION: Find the values of x and y that solve the following system of equations: 8x+7y=12 -7x-4y=-2

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Question 322943: Find the values of x and y that solve the following system of equations:
8x+7y=12
-7x-4y=-2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+8x + 7y = 12
-7x - 4y = -2
:
Multiply the 1st equation by 4, multiply the 2nd equation by 7, results
+32x + 28y = 48
-49x - 28y = -14
---------------------addition eliminates y, find x
-17x + 0y = 34
x = 34%2F%28-17%29
x = -2
:
Use the 1st original equation to find y
8(-2) + 7y = 12
-16 + 7y = 12
7y = 12 + 16
7y = 28
y = 28%2F7
y = 4
:
:
Check solution in the 2nd original equation:
-7(-2) - 4(4) = -2
14 - 16 = -2