Answer: x=-4, y=4
Explanation:
We can use elimination method to solve this problem.
Let's eliminate y.
In equation 2, use the coefficient of y (i.e 5) to multiply equation 1. DO the same for other equation. Thus,
5(10x+7y=-12)
7(9x+5y=-16)
=> 50x+35y=-60
63x+35y= -112
clearly, y can be eliminated by subtraction.
Therefore,
-13x = 52 [-63+50 and 112-60)]
x = -4.
When x = -4,
9x+5y =-16
9(-4) +5y =-16
5y = 36-16
y=4.