3x-2y=12 and 2x+4y=16 Solve with Subsitution

Sub

solve for 1 variable

solve for x in seond eqution

divide everybody by 2

x+2y=8

minus 2y

x=8-2y

sub 8-2y for x in other equation

3 (8-2y) - 2y=12

24-6y-2y=12

24-8y=12

minus 24

-8y=-12

divide - 8 both sides

y=3/2

sub

x=8-2y

x=8-2 (3/2)

x=8-3

x=5

(5,3/2)