# How do you solve the system of equations -4x + 5y = 6 and 3x + y = - 14?

May 9, 2018

color(purple)(x = -4, y = -2

#### Explanation:

$- 4 x + 5 y = 6 , \text{ Eqn (1)}$

$3 x + y = - 14 , \text{ Eqn (2)}$

$- 15 x - 5 y = 70 , \text{ Eqn (2) * -5}$

$\text{Adding Eqn (1) and En (2) * -5}$,

$- 19 x = 76$

color(purple)(x = -76/19 = -4

"Substituting value of x in Eqn (1)',

$16 + 5 y = 6$

color(purple)(y = (6-16)/5 = -2