# How do you solve 4y= -8x+16 and 2y=11x - 7?

Sep 27, 2015

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

#### Explanation:

You can multiply the second equation by $- 2$ and add the two:
$\left\{\begin{matrix}4 y = - 8 x + 16 \\ \textcolor{red}{- 2 \times} \left[2 y = 11 x - 7\right]\end{matrix}\right.$
$\left\{\begin{matrix}4 y = - 8 x + 16 \\ - 4 y = - 22 x + 14\end{matrix}\right.$ add them:
$0 = - 30 x + 30$
$x = 1$
substitute back into the first equation:
$4 y = - 8 \cdot 1 + 16$
$4 y = 8$
$y = 2$