10x+7y=−1010x+7y=-1010x+7y=−10
−9x−7y=2-9x-7y=2−9x−7y=2
Adding two equations
x=−8x=-8x=−8
Substituting for x into the first equation of the system
10(−8)+7y=−1010(-8)+7y=-1010(−8)+7y=−10
−80+7y=−10-80+7y=-10−80+7y=−10
7y=−10+807y=-10+807y=−10+80
y=707y=\frac {70} 7y=770
y=10y=10y=10
Answer: x=-8 and y=10
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