Question

Solve the system of equations.

Answer 1

Solve x+3y=-1 for x:

Add -3 to both sides

x+3y+-3y=-1+-3y

x=-3y-1

Substitute -3y-1 for x in 2x+2y=6

2x+2y=6

2(-3y-1)+2y=6

Simplify both sides of the equation

-4y-2=6

Add 2 both sides

-4y-2+2=6+2

-4y=8

Divide both sides by -4

-4y/-4=8/-4

y=-2

Substitute -2 for y in x=-3y-1

x=-3y-1

x= (-3)(-2)-1

Simplify both sides of the equation

x=5

Answer : D

x=5 and y=-2

I hope that's help and have a great night !