Question

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

Explanation:

Step1: Subtract equations to eliminate $y$

$$(5x - 3y) - (x - 3y) = -48 - (-12)$$

Step2: Simplify to solve for $x$

$$5x - 3y - x + 3y = -48 + 12$$
$$4x = -36$$
$$x = \frac{-36}{4} = -9$$

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

$$-9 - 3y = -12$$

Step4: Solve the equation for $y$

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

Answer:

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