How do you solve the following system of equations?: 10x – 30y = -1, -2x +3y=12?

Jun 20, 2018

color(indigo)(x = -119/10, y = -59/15

Explanation:

$10 x - 30 y = - 1 , \text{ Eqn (1)}$

$- 2 x + 3 y = 12 , \text{ Eqn (2)}$

$\cancel{10 x} - 30 y - \cancel{10 x} + 15 y = - 1 + 60 , \text{ Eqn (1) + 5 * Eqn (2)}$

-15y = 59 " or y = -(59/15)#

$- 2 x + 3 \cdot \left(- \frac{59}{15}\right) = 12$

$- 2 x = 12 + \frac{59}{5} \text{ or } x = - \frac{119}{10}$