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9. solve the system by substitution. $4x - 9y = -23$ $y = 3x$

Question

  1. solve the system by substitution.

$4x - 9y = -23$
$y = 3x$

Explanation:

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

$4x - 9(3x) = -23$

Step2: Simplificar la ecuación resultante

$4x - 27x = -23$
$-23x = -23$

Step3: Resolver para $x$

$x = \frac{-23}{-23} = 1$

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

$y = 3(1) = 3$

Answer:

$x=1$, $y=3$