SOLUTION: Solve the system of equations by elimination. 2x − 9y = −79 9x + 2y = −58 x, y = I need the process please!

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Question 478649: Solve the system of equations by elimination.
2x − 9y = −79
9x + 2y = −58
x, y =
I need the process please!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x − 9y = −79
9x + 2y = −58
:
We can use the elimination process here,
multiply the 1st equation by 2, multiply the 2nd equation by 9, results:
4x - 18y = -159
81x+ 18y = -522
------------------addition eliminates y,find x
85x = - 680
x = %28-680%29%2F85
x = -8
:
Find y using substitution for x in the 2nd equation
9(-8) + 2y = -58
-72 + 2y = -58
2y = -58 + 72
2y = +14
y = +7
:
Check solutions in the 1st equation
2(-8) − 9(7) = −79
-16 - 63 = -79