Question 478649
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 = {{{(-680)/85}}}
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