Question

How do you solve the system `y=x+2` and `y+1=2x` using substitution?

Answer 1

Use the formula for `y` given to us in the first equation, substituting it into the second equation:

`2x = y + 1 = (x+2) + 1 = x+3`

Subtract `x` from both sides to get:

`x=3`

Substitute `x=3` in the first equation to get:

`y = x+2 = 3+2 = 5`