Okay, here we have this:
Considering the provided system of equations, we are going to find the requested solutions, so we obtain the following:
So since the two equations are equal to y, we will proceed to equal them, we have:
y=-x-10
y=x^2-5x-10
Then:
-x-10=x^2-5x-10
0=x^2-5x+x-10+10
0=x^2-4x
0=x(x-4)
x=0 or x-4=0
x=0 or x=4
We will evaluate to know the values of "y" that are solutions:
x=0:
y=-x-10
y=-0-10
y=-10
x=4:
y=-x-10
y=-4-10
y=-14
Finally we obtain that the solutions are: (0, -10) (4, -14).
