Question

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)

Answer 1

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)