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solve the system by substitution. $y = -x$ $y = -4x + 12$

Question

solve the system by substitution.

$y = -x$

$y = -4x + 12$

Explanation:

Step1: Substitute $y=-x$ into second equation

$-x = -4x + 12$

Step2: Isolate $x$ terms

$-x + 4x = 12$
$3x = 12$

Step3: Solve for $x$

$x = \frac{12}{3} = 4$

Step4: Solve for $y$ using $y=-x$

$y = -4$

Answer:

$x=4$, $y=-4$