# Question #d3147

Dec 13, 2016

$y = - 1$

#### Explanation:

We have:

$x = 2 y + 3$ and $4 x - 5 y = 9$

Thus we can substitute the x from the first equation into the second one like so:

$4 \left(2 y + 3\right) - 5 y = 9$

Then we can distribute and combine like terms.

$8 y + 12 - 5 y = 9$
$3 y + 12 = 9$ Add the y values together
$3 y = - 3$ Divide both sides by 3
$y = - 1$