Question

5x - 2y = 6
x = 5 - y
Solve the system of equations by substitution.

(16/7, 19/7)
(-4/3, 19/3)
no solution
coincident

Answer 1

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