How do you solve this system of equations 2x - 4y = - 24 , 3x + 4y = 4?

May 3, 2018

Add these two to find x first. Your solution: $x = - 4$ and $y = 4$

Explanation:

$2 x - 4 y = - 24$

$3 x + 4 y = 4$

After summing them up:

$2 x + 3 x - 4 y + 4 y = - 24 + 4$

$5 x = - 20$

$x = - \frac{20}{5} = - 4$

Now y can be computed:

$4 y = 4 - 3 x$

$4 y = 4 - \left(3 \times - 4\right)$

$4 y = 4 + 12$

$y = \frac{16}{4} = 4$