Question

What are the solutions to the system of equations graphed below? Select all
that apply.

Answer 1

Answer is A and B. Solutions are where the two graphs cross, so you just need to find those coordinates, which are (-5,-13) and (2,-6).

Answer 2

The solution points are:

• (2, -6)

• (-5, -13)

Therefore, option (A) and option (B) is true.

Explanation:

We know that the solution to the system of equations on the graph is the point of intersection of the equations. In other words, the point or points, where both the graphs of the equations meet or intersect.

POINT OF INTERSECTION (2, -6)

From the given diagram, it is clear that there are two points of intersections which are:

at point x = 2, the graphs of both equations meet, and the corresponding y-value is y = -6.

Thus, (2, -6) is the point of intersection.

POINT OF INTERSECTION (-5, -13)

Now, also check at point x = -5, the graphs of both equations again meet, and the corresponding y-value is y = -13.

Thus, (-5, -13) is the point of intersection.

Therefore, the solution points are:

• (2, -6)

• (-5, -13)

Therefore, option (A) and option (B) is true.