Question

What is the full solution of the system by using the substitution method:

3x+y=10
y=6x+1

Answer 1

y=6x+1
sub 6x+1 for y in other equation
3x+6x+1=10
9x+1=10
minus 1 both sides
9x=9
divide both sides by 9
x=1
sub back
y=6x+1
y=6(1)+1
y=7


x=1
y=7

(1,7)

Answer 2

3x+6x+1=10
9x+1=10
9x+1-1=10-1
9x=9
9x/9=9/9
x=1