Question

find the solution of the system of equations.
-8x + 6y = 34
-8x - 4y = 44

Explanation:

Step1: Subtract the two equations

$$(-8x + 6y) - (-8x - 4y) = 34 - 44$$
Simplify:
$$-8x + 6y + 8x + 4y = -10$$
$$10y = -10$$

Step2: Solve for $y$

$$y = \frac{-10}{10} = -1$$

Step3: Substitute $y=-1$ into second equation

$$-8x - 4(-1) = 44$$
Simplify:
$$-8x + 4 = 44$$

Step4: Solve for $x$

$$-8x = 44 - 4$$
$$-8x = 40$$
$$x = \frac{40}{-8} = -5$$

Answer:

$x=-5$, $y=-1$