What is the solution to this system of equations?

3x+y=-11

2x+2y=-10

A. (4,-23)

B. (-6,7)

C. (1 1^2,3)

D. (-3,-2)

3x+y=-11

3x+y+-3x=-11+-3x (Add - 3x to both sides)

y=-3x-11

2x+2y=-10

2x+2 (-3x-11) = -10

-4x-22=-10 (Simplify both sides of the equation)

-4x-22+22=-10+22 (Add 22 to both sides)

-4x=12

-4x

-4

=

12

-4

(Divide both sides by - 4)

x=-3

y=-3x-11

y = (-3) (-3) - 11

y=-2 (Simplify both sides of the equation)

Answer:

x=-3 and y=-2

D. (-3,-2)