# How do you solve 4x + 5y = 6 and y = 2x - 10?

Nov 3, 2015

I found:
$x = 4$
$y = - 2$

#### Explanation:

You could substitute the second equation into the first for $y$ and get:
$4 x + 5 \left(\textcolor{red}{2 x - 10}\right) = 6$
ad solve for $x$:
$4 x + 10 x - 50 = 6$
$14 x = 56$
$x = \frac{56}{14} = 4$
substitute this back into the second equation:
$y = 2 \cdot 4 - 10 = - 2$