Question

question
find the solution of the system of equations.

$-5x + 9y = -32$
$-5x - 3y = 4$

Explanation:

Step1: Subtract equations to eliminate $x$

$$(-5x + 9y) - (-5x - 3y) = -32 - 4$$
$$-5x + 9y + 5x + 3y = -36$$
$$12y = -36$$

Step2: Solve for $y$

$$y = \frac{-36}{12} = -3$$

Step3: Substitute $y=-3$ into second equation

$$-5x - 3(-3) = 4$$
$$-5x + 9 = 4$$

Step4: Solve for $x$

$$-5x = 4 - 9 = -5$$
$$x = \frac{-5}{-5} = 1$$

Answer:

$x=1$, $y=-3$