Question

A system of equations is graphed on the coordinate plane.

y=−2x−4

y=2x+4


What is the solution to the system of equations?


Enter the coordinates of the solution in the boxes.


A graph of the system of equations y equals negative 2 x minus 4 and y equals 2 x plus 4.

Answer 1

(3, -2)

is the answer

Answer 2

• The solution is (x, y) = (-2, 0)
• A graph is attached

Explanation:

The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).

The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).

Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.