Solve each system using substitution.

1. 4x= 3y-2 ; 18= 3x+y

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 1

18= 3x+y 2

Isolate the y in 2.

y = 18-3x 3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6