# How do you solve the simultaneous equations x + y = 3 and x + 2y = 5?

Jul 20, 2015

I found:
$x = 1$
$y = 2$

#### Explanation:

You can collect $x$ from the first equation and substitute into the second:
$x = 3 - y$ into the second:
$\textcolor{red}{3 - y} + 2 y = 5$
Solve for $y$:
$y = 2$
Substitute this value into the first equation:
$x = 3 - \textcolor{red}{2} = 1$