How do you solve the system y-4/5x=1 and y-x=1 using substitution?

Mar 13, 2018

$x = 0$
$y = 1$

Explanation:

$y - x = 1 | + x$
$y = \textcolor{red}{1 + x}$

$\textcolor{red}{y} - \frac{4}{5} x = 1$
$\textcolor{red}{1 + x} - \frac{4}{5} x = 1 | - 1$
$\frac{1}{5} x = 0 | \cdot 5$
$x = \textcolor{b l u e}{0}$

$y - \textcolor{b l u e}{x} = 1 | + x$
$y - \textcolor{b l u e}{0} = 1$
$y = 1$