# How do you solve the system of equations -4x + 3y = - 33 and 5x + 2y = 24?

May 23, 2018

$x = 6$ and $y = - 3$

#### Explanation:

$5 \cdot \left(- 4 x + 3 y\right) + 4 \cdot \left(5 x + 2 y\right) = 5 \cdot \left(- 33\right) + 4 \cdot 24$

$- 20 x + 15 y + 20 x + 8 y = - 165 + 96$

$23 y = - 69$ or $y = - 3$

So,

$- 4 x + 3 \cdot \left(- 3\right) = - 33$

$- 4 x - 9 = - 33$

$- 4 x = - 24$, thus $x = \frac{- 24}{- 4} = 6$