Question 707913
Multiply both sides in equation 2 by the number -2 to get


-6x-y=9


-2(-6x-y)= -2*9


12x + 2y = -18


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So the system


-12x-10y=90
-6x-y=9 


turns into


-12x-10y=90
12x+2y=-18



Add the equations


-12x-10y=90
12x+2y=-18
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0x-8y=72


So -8y = 72. Solve for y


-8y = 72


y = 72/(-8)


y = -9


Now use this to find x.


-12x-10y=90


-12x-10(-9)=90


-12x+90=90


-12x=90-90


-12x=0


x = 0/(-12)


x = 0


So x = 0 and y = -9


Therefore, the solution as an ordered pair is (0, -9)


If you graphed both equations, you'll see that they intersect at (0, -9) which would give you visual confirmation of the answer.