# How do you solve the system of equations x+ 4y = 5 and 5x + 3y = 8 by addition method?

Jun 23, 2017

I got $x = 1$ and $y = 1$

#### Explanation:

Let us multiply the first quation by $- 5$
$\textcolor{red}{- 5 x - 20 y = - 25}$
$5 x + 3 y = 8$
we can add them together (in columns) to get:
$0 - 17 y = - 17$
so that we get:
$y = - \frac{17}{-} 17 = 1$
that substituted into the first original equation gives:
$x + 4 \cdot 1 = 5$
$x = 5 - 4 = 1$