5x - 2y = 6

x = 5 - y

Solve the system of equations by substitution.

(16/7, 19/7)

(-4/3, 19/3)

no solution

coincident

Sub

x=5-y

nice

sub 5-y for every x you see in other equation

5 (5-y) - 2y=6

25-5y-2y=6

25-7y=6

minus 25 both sides

-7y=-19

divide both sides by - 7

y=19/7

sub back

x=5-y

x=5-19/7

x=35/7-19/7

x=16/7

(16/7,19/7)

first one