Question

name
with multiplication date

1. $2x - 3y = -6$

$-5x - 9y = 15$

Explanation:

Step1: Eliminate y variable

Multiply first equation by 3:
$3\times(2x - 3y) = 3\times(-6)$
$6x - 9y = -18$

Step2: Subtract equations

Subtract second equation from new equation:
$(6x - 9y) - (-5x - 9y) = -18 - 15$
$6x -9y +5x +9y = -33$
$11x = -33$

Step3: Solve for x

Divide both sides by 11:
$x = \frac{-33}{11} = -3$

Step4: Substitute x to find y

Plug $x=-3$ into $2x - 3y = -6$:
$2(-3) - 3y = -6$
$-6 - 3y = -6$
$-3y = -6 + 6 = 0$
$y = 0$

Answer:

$x=-3$, $y=0$