# How do you solve 3x + 5y = 44 and 8x - 7y = -25?

May 17, 2016

$y = 7$

$x = 3$

#### Explanation:

Use simultaneous equations.

$3 x + 5 y = 44$
$8 x - 7 y = - 25$

Times the top equation by 8 and the bottom equation by 3 to make the x terms equal.

$24 x + 40 y = 352$
$24 x - 21 y = - 75$

Take the two equations away from each other. This will cancel out the x terms.

$61 y = 427$

Therefore $y = \frac{427}{61}$ $= 7$

To find x, substitute this y value into one of the equations. So,

$3 x + \left(5 \times 7\right) = 44$
$3 x + 35 = 44$
$3 x = 9$
$x = 3$