# How do you solve y=2x+3 and y=3x+1 using substitution?

Dec 19, 2016

I found:
$x = 2$
$y = 7$

#### Explanation:

Take the first equation and substitute it into the second for $y$:
$\textcolor{red}{2 x + 3} = 3 x + 1$
solve for $x$:
$3 x - 2 x = 3 - 1$
$x = 2$
substitute this value back into the first equation:
$y = 2 \cdot \textcolor{red}{2} + 3 = 7$