# How do solve the following linear system?:  2x - 4y=9, 2x - 5y=3 ?

Dec 27, 2015

I found:
$x = \frac{33}{2}$
$y = 6$

#### Explanation:

I would isolate $2 x$ from the first equation:
$2 x = 9 + 4 y$
and substitute into the second:
$9 + 4 y - 5 y = 3$
rearranging:
$y = 6$
back into the first equation:
$2 x = 9 + 24$
$x = \frac{33}{2}$