Question

solve the system by substitution.
$-6x + 8y = -18$
$3x = y$

Explanation:

Step1: Sustituir $y=3x$ en la primera ecuación

$-6x + 8(3x) = -18$

Step2: Simplificar la ecuación resultante

$-6x + 24x = -18 \implies 18x = -18$

Step3: Resolver para $x$

$x = \frac{-18}{18} = -1$

Step4: Calcular $y$ usando $y=3x$

$y = 3(-1) = -3$

Answer:

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