Question

what is the solution to the following system of equations?
y = x² + 10x + 11
y = x² + x − 7
(-2, -5)
(2, -5)
(-2, 5)
(2, 5)

Explanation:

Step1: Set equations equal (both = y)

$x^2 + 10x + 11 = x^2 + x - 7$

Step2: Cancel $x^2$, solve for x

$10x + 11 = x - 7$
$9x = -18$
$x = -2$

Step3: Substitute x into second equation

$y = (-2)^2 + (-2) - 7$
$y = 4 - 2 - 7$
$y = -5$

Answer:

(-2, -5)