Question

Solving system of equations by substitution

Answer 1

Y=3x-10 and 3x+2y=16
y=3x-10
subsitute 3x-10 for y in other equation

3x+2y=16
3x+2(3x-10)=16
distribute
3x+6x-20=16
9x-20=16
add 20 both sides
9x=36
divide both sides by 9
x=4

sub back

y=3x-10
y=3(4)-10
y=12-10
y=2

x=4
y=2
(4,2) is soluiton