Question

What is the solution to the system of equations graphed below?

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

The given system of equations is

$y=-2x-3$                        .... (1)

$y=3x+2$                       .... (2)

The intersection point of both equation is the solution to the system of equations.

Substitute the value of y in equation (2) from equation (1).

$-2x-3=3x+2$

Isolate the like terms.

$-2x-3x=3+2$

$-5x=5$

Divide both sides by -5.

$x=-1$

The value of x is -1. Put this value in equation (1) to find the value of y.

$y=-2(-1)-3=2-3=-1$

The value of y is -1.

The solution to the system of equations is (-1,-1). Therefore the correct option is D.

Answer 2

D....................