# How do you solve the following system: 3x - 2y = 9, 4x + 7y = 6?

May 29, 2018

$x = \frac{75}{29} , y = - \frac{18}{29}$

#### Explanation:

Multiplying the first equation by
$4$
and the second one by
$- 3$
and addin g both we get
$- 29 y = 18$
so
$y = - \frac{18}{29}$
We get
$x$ as
$x = \frac{75}{29}$