Question

What is the solution to the following system of equations? y = −x^2 − 5x − 4 y = −x^2 + 9x − 18

Answer 1

X=1 Y= -10

Explanation:

`Y=-x^(2) -5x-4 equation 1 \\Y=-x^(2) + 9x-18` equation 2

using equation 1, we substitute in equation 2

We have

`-x^(2) -5x-4 = -x^(2) + 9x-18\\-14x=-14\\x=1\\`

so, we substitute the X value in equation2

we have>

`y=-(1^(2))+ 9(1)-18)=-10\\y=-10`