Question

Is (-1,2) a solution to the following system of equations? Show and explain why or why not.

f(x)=x^2+3x+4
g(x)=2x+4

Answer 1

It is a solution.

Explanation:

Plug in (-1,2) to both equations:

Plug in -1 to see if 2 comes out:

f(x)=x^2+3x+4

y=(-1)^2+3(-1)+4

y=1-3+4

y=-2+4

y=2

(yes it works)

g(x)=2x+4

y=2(-1)+4

y=-2+4

y=2

(yes it works)