Question

Solve the system of linear equations below.

x − 3y = -3
x + 3y = 9

x = -12, y = 7

x = 3, y = 2

x = 6, y = 1

x = 6, y = 2

Answer 1

Good morning

x-3y=-3

x+3y=9

Solve x-3y=-3 for x

Add 3y to both sides

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

x= 3y-3

Substitute 3y-3 for x in x+3y=9

x+3y=9

3y-3+3y=9

Simplify both sides of the equation

6y-3=9

Add 3 to both sides

6y-3+3=9+3

6y=12

Divide both sides by 6

6y/6=12/6

y=2

Substitute 2 for y in x=3y-3

x=3y-3

x= (3)(2)-3

x= 6-3

x= 3

Final answer : X=3, Y=2

I hope that's help !

Have a great Sunday :)