Question

-x - 5y = -20
6x + 5y = -25

Explanation:

Step1: Add the two equations

$$(-x - 5y) + (6x + 5y) = -20 + (-25)$$
Simplify to eliminate $y$:
$$5x = -45$$

Step2: Solve for $x$

$$x = \frac{-45}{5} = -9$$

Step3: Substitute $x=-9$ into first equation

$$-(-9) - 5y = -20$$
Simplify the left side:
$$9 - 5y = -20$$

Step4: Solve for $y$

$$-5y = -20 - 9$$
$$-5y = -29$$
$$y = \frac{-29}{-5} = \frac{29}{5}$$

Answer:

$x=-9$, $y=\frac{29}{5}$