Question

Solve each system of equations​

Answer 1

(-2,-2)

Explanation:

Let's solve your system by substitution.

y=2x+2;y=−2x−6

Step: Solvey=2x+2for y:

y=2x+2

Step: Substitute2x+2foryiny=−2x−6:

y=−2x−6

2x+2=−2x−6

2x+2+2x=−2x−6+2x(Add 2x to both sides)

4x+2=−6

4x+2+−2=−6+−2(Add -2 to both sides)

4x=−8

4x/4

=

−8/4

(Divide both sides by 4)

x=−2

Step: Substitute−2forxiny=2x+2:

y=2x+2

y=(2)(−2)+2

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