Solve in substitution. Show your work.

2x+3y=5

y=3x-2

Substitute the 3x-2 for the y in the first equation:

2x+3 (3x-2) = 5

Distribute the 3:

2x+9x-6=5

Combine like terms:

11x-6=5

Add 6 to both sides:

11x=11

Divide by 11:

x=1

Substitute that 1 for x in either equation:

y=3x-2

y=3 (1) - 2

y=3-2

y=1

Answer:

x=1

y=1