# Solve for x and y, given that x+8y=160 and 3x+5y=119?

Mar 19, 2017

$y = 19 \mathmr{and} x = 8$

#### Explanation:

$\textcolor{red}{\text{Commencing}}$ $\textcolor{red}{\text{simultaneous}}$ $\textcolor{red}{\text{equation}}$,

$x + 8 y = 160$
$3 x + 24 y = 480$ $\to$

$3 x + 5 y = 119$ $\to$

From ①$-$②,

$3 x + 24 y - 3 x - 5 y = 480 - 119$
$19 y = 361$
$y = 19$

x=160-(19×8)
$x = 8$

Hence, $x = 8 \mathmr{and} y = 19$.