Question

-6x + 3y = 45
5x + 3y = -10

Explanation:

Step1: Subtract the two equations

$$(-6x + 3y) - (5x + 3y) = 45 - (-10)$$
Simplify:
$$-6x + 3y -5x -3y = 45 + 10$$
$$-11x = 55$$

Step2: Solve for x

$$x = \frac{55}{-11}$$
$$x = -5$$

Step3: Substitute x into second equation

$$5(-5) + 3y = -10$$
$$-25 + 3y = -10$$

Step4: Solve for y

$$3y = -10 + 25$$
$$3y = 15$$
$$y = \frac{15}{3}$$
$$y = 5$$

Answer:

$x = -5$, $y = 5$