Question

What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x − 7

Answer 1

Equation 1)  y = x² + 10x + 11
Equation 2)  y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work. 

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35