# How do solve the following linear system?:  x + y= 12 , 3x + 4y = -2 ?

May 9, 2018

color(green)(x = 50, y = -38

#### Explanation:

$x + y = 12 , \text{ Eqn (1)}$

$3 x + 4 y = - 2 , \text{ Eqn (2)}$

$\text{ Eqn ( 2) - 3 * Eqn (1) gives }$

$3 x + 4 y - 3 x - 3 y = - 2 - 36$

color(green)(y = -38

Substituting value of y in Eqn (1),

color(green)(x = 12 + 38 = 50