Question

the multipliers of this system of equations have been determined to create opposite terms of the x - variable.
$12\left(-\frac{1}{6}x - \frac{2}{3}y = - 5\
ight)\longrightarrow - 2x - 8y = - 60$
$5\left(\frac{2}{5}x + \frac{1}{5}y = - 9\
ight)\longrightarrow 2x + y = - 45$
what is the value of $y$?
$\bigcirc - 30$
$\bigcirc - 15$
$\bigcirc 15$
$\bigcirc 30$

Explanation:

Step1: Add the two equations

$$(-2x - 8y) + (2x + y) = -60 + (-45)$$

Step2: Simplify to solve for y

$$-7y = -105$$
$$y = \frac{-105}{-7}$$

Answer:

15