Question

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

Answer 1

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

Explanation:

`10x - 30y = -1, " Eqn (1)"`#

`-2x + 3y = 12, " Eqn (2)"`

`cancel(10x) - 30y - cancel(10x) + 15y = -1 + 60, " Eqn (1) + 5 * Eqn (2)"`

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

`-2x + 3 * (-59/15) = 12`

`-2x = 12 + 59 / 5 " or " x = -119/10`