# How do you solve 3x+2y=5 and 2x+5y=-3?

Apr 3, 2018

By arranging the equations

#### Explanation:

Multiply the first equation by -2 and the second by 3. Yielding:

$- 6 x - 4 y = - 10$
$6 x + 15 y = - 9$

Combine these two, yielding:
$11 y = - 19$

$y = - \frac{19}{11}$

Put this into the first equation:

$3 x - \frac{38}{11} = 5$

$3 x = \frac{55 + 38}{11}$

$3 x = \frac{93}{11}$

$x = \frac{31}{11}$