Question

2. (06.03)

What is the solution to the following system of equations? (2 points)
y = -x2 – 5x − 4
y = -x² + 9x - 18
O (-1,-10)
O (1,-10)
O (-1,10)
(1.10)

Answer 1

Answer: (1, -10)

Explanation:

Since both of the equations are set equal to y, we can conclude that:

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

If x=1, then
`y=-(1)^(2)+9(1)-18=-10`

Thus, the solution is (1, -10)