Question

solve using elimination:
x - 3y = -12
5x - 3y = -48

Explanation:

Step1: Subtract equations to eliminate $y$

$(5x - 3y) - (x - 3y) = -48 - (-12)$
Simplify: $5x - 3y - x + 3y = -48 + 12$
$4x = -36$

Step2: Solve for $x$

$x = \frac{-36}{4} = -9$

Step3: Substitute $x=-9$ into first equation

$-9 - 3y = -12$

Step4: Solve for $y$

$-3y = -12 + 9$
$-3y = -3$
$y = \frac{-3}{-3} = 1$

Answer:

$x=-9$, $y=1$