Question

The two lines, P and Q, are graphed below:

Determine the solution and the reasoning that justifies the solution to the systems of equations.

A) (0, 8), because this point is true for both the equations

B) (0, 8), because the lines intersect the y-axis at these points

C) (−2, 4), because this point makes both the equations incorrect

D) (−2, 4), because it is the point of intersection of the two graphs

Answer 1

Answer: D(-2,4) , becuase it is the point of intersection of the two graphs.

The intersection of two graph is the solution for a system of equations.

Answer 2

Option D.

Explanation:

In this question two lines P and Q have been graphed. Solution of this system of equations will be a common point (point of intersection) Or in other words a point which lies on both the equations will be the solution.

By this graph common point is (-2, -4) which will lie on both the lines.

Therefore, Option D. (-2, 4) is the solution to the system of the equations.