Solve the system of the following equations:
x+3y=-1
2x+2y=6
(-4,1)
(2,-1)
(4,-1)
(5,-2)

(5,-2)

Step by step:

step: Solvex+3y=−1for x:

x+3y=−1

x+3y+−3y=−1+−3y(Add -3y to both sides)

x=−3y−1

Step: Substitute−3y−1forxin2x+2y=6:

2x+2y=6

2(−3y−1)+2y=6

−4y−2=6(Simplify both sides of the equation)

−4y−2+2=6+2(Add 2 to both sides)

−4y=8

−4y

−4

=

8

−4

(Divide both sides by -4)

y=−2

Step: Substitute−2foryinx=−3y−1:

x=−3y−1

x=(−3)(−2)−1

x=5(Simplify both sides of the equation)

x=5 and y=−2