Question

find the solution of the system of equations.
8x - 6y = -32
-8x + 5y = 36

Explanation:

Step1: Add the two equations

$$(8x - 6y) + (-8x + 5y) = -32 + 36$$
$$-y = 4$$

Step2: Solve for $y$

$$y = -4$$

Step3: Substitute $y=-4$ into first equation

$$8x - 6(-4) = -32$$
$$8x + 24 = -32$$

Step4: Solve for $x$

$$8x = -32 - 24$$
$$8x = -56$$
$$x = -7$$

Answer:

$x=-7$, $y=-4$