# How do you solve the system of equations algebraically 4x+5y=-8, 3x-7y=10?

May 28, 2018

$x = - \frac{6}{43} , y = - \frac{64}{43}$

#### Explanation:

Multiplying the first equation by $7$ and the second by $5$ and adding we get
$43 x = - 6$ so
$x = - \frac{6}{43}$
Plugging this in the first equation we get
$5 \cdot \left(- \frac{6}{43}\right) + 5 y = - 8$
so
$5 y = - 8 + \frac{24}{43}$
$y = - \frac{64}{43}$