# How do you solve the system using the substitution method for x+2y=2 and y=2x+6?

Jul 7, 2015

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

#### Explanation:

Take the value of $x$ from the first equation:
$x = 2 - 2 y$ $\textcolor{red}{\left(1\right)}$,
and substitute for $x$ into the second:
$y = 2 \left(2 - 2 y\right) + 6$ solve for $y$;
$y = 4 - 4 y + 6$
$y = \frac{10}{5} = 2$
Substitute back into $\textcolor{red}{\left(1\right)}$ and find $x$:
$x = 2 - 4 = - 2$