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)

Answer:

x=5 and y=-2