# How do you solve the following system of equations?: -x- 16y = 12 , 12x+y=8?

Jun 20, 2018

color(gray)(x = 35/382, y = -(152/191)

#### Explanation:

$- x - 16 y = 12 , \text{ Eqn (1)}$

$12 x + y = 8 , \text{ Eqn (2)}$

$- 12 x - 192 y + 12 x + y = 144 + 8 , \text{ 12 * Eqn(1) + Eqn(2)}$

$- 191 y = 152 \text{ or } y = - \left(\frac{152}{191}\right)$

Substituting value of y in Eqn (2),

$12 x - \left(\frac{152}{191}\right) = 8$

$12 x = \frac{1528 + 152}{8 \cdot 191}$

$x = \frac{1680}{12 \cdot 8 \cdot 191} = \frac{35}{382}$#