Answer:
The correct option is D.
Step-by-step explanation:
The given system of equations is
[tex]y=-2x-3[/tex] .... (1)
[tex]y=3x+2[/tex] .... (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).
[tex]-2x-3=3x+2[/tex]
Isolate the like terms.
[tex]-2x-3x=3+2[/tex]
[tex]-5x=5[/tex]
Divide both sides by -5.
[tex]x=-1[/tex]
The value of x is -1. Put this value in equation (1) to find the value of y.
[tex]y=-2(-1)-3=2-3=-1[/tex]
The value of y is -1.
The solution to the system of equations is (-1,-1). Therefore the correct option is D.
