Question

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

Answer 1

(x,y) = (-2, 0)

and

(x,y) = (2.5, 2.25)

Explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.

Please see the attached image below, to find more information about the graph

s

The equations are:

y1 + 4 = x^2

y1 = x^2 - 4

y2 - x = 2

y2 = x +2

The intersection of the two graphs correspond to

(x,y) = (-2, 0)

and

(x,y) = (2.5, 2.25)