Question

Solve the system. (I need a step by step)

y=5x-2
y=x+6

Answer 1

y=5x-2

substitute y in equation 2

5x-2=x+6
5x-x=6+2
4x=8
x=8/4
x=2

now plug x value into one of the equation
y=2+6
y=8

so x=2 and y=8

Answer 2

Solving by canceling terms: subtract the second equation from the first. Results in (y-y)=(5x-x)+(-2-6) -> 0=4x-8. Add 8 to both sides to get 4x=8, divide both sides by 4 to get x=2. Next, plug this back in to the second equation, so y=2+6=8. So the answer to the system is (2,8) or x=2, y=8.

Answer 3

Agh thanks so much. Saved my life.