Question

Solve the linear system using substitution. Show your work.
y = -3x + 3
4x +3y = -1

Answer 1

x=2 and y=-3

Explanation:

y=-3x+3, 4x+3y=-1 solve using substitution

y=-3x+3 solve y=-3x+3 for y

4x+3y=-1

4x+3(-3x+3)=-1 simplify both sides of the equation

-5x+9=-1

-5x+9-9=-1+-9 add -9 to both sides

-5x=-10

-5x/5=-10/-5 divide both sides by -5

x=2

substitute 2 for x in y=-3x+3

y=(-3)(2)+3

y=-3 simplify both sides of the equation

answer; x=2 and y=-3

Answer 2

Sub y in the second equation by y in the first equation:
We get 4x+3(-3x+3)=-1
4x-9x+9=-1
-5x=-10
x=2
Sub in the first equation
y=-3(2)+3
y=-3