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

May 24, 2015

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

$2 x = y + 1 = \left(x + 2\right) + 1 = x + 3$

Subtract $x$ from both sides to get:

$x = 3$

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

$y = x + 2 = 3 + 2 = 5$