2x-7y=14 7x+92=y
Re-work equation 2.
7x + 92 = y
7x + 92 - y = 0
7x - y = -92
(7x - y) * 7 = -92 * 7
49x - 7y = -644
Now, you have an equation you can
subtract from the first equation to
eliminate the y term.
2x - 7y = 14
- (49x - 7y = -644)
--------------------------
-47x = 658
x = 658 / -47
x = -14
With that, we can solve for y.
2(-14) - 7y = 14
-28 - 7y = 14
-7y = 14 + 28
-7y = 42
y = 42 / -7
y = -6
Use the other equation to verify your answer
7x + 92 = y
7(-14) + 92 = -6
-98 + 92 = -6
-6 = -6
x = -14 and y = -6