6y-8x=14 and y=x+5, What is the solution to this system of equations?

6y-8x=14

Replace y with y=x+5

6 (x+5) - 8x = 14

Simplify

6x+30-8x=14

Add common factors

-2x+30=14

Subtract 30 from both side

-2x = - 16

Divide both sides by - 2

x=8

Now solve for y by replacing x with 8

y=8+5

y=13

Solution to the system of equations is (8,13)

6y-8x=14 (1)

Y=x+5 (2)

6y-8x=14 (3) * 1

Y-x=5 (4) * 6

6y-8x=14

6y-6x=30

-2x=16

X=8

Put x into equation 1

6y-8x=14

6y-8 (8) = 14

6y-64=14

6y=14+64

6y=78

6y=78

Y=13