# How do you solve the following system: 5x + 2y = 5, 3x - 4y = -23 ?

Jun 15, 2018

color(maroon)(x = -1, y = 5

#### Explanation:

$5 x + 2 y = 5$, Eqn (1)

$3 x - 4 y = - 23$, Eqn (2)

Adding 2 * Eqn (1) with Eqn(2),

$10 x + 4 y + 3 x - 4 y = 10 - 23$

$13 x = - 13$

$x = - 1$

Substituting for x in Eqn (1),

$\left(5 \cdot - 1\right) + 2 y = 5$

$2 y = 10$ or $y = 5$