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solve the system by substitution. y = -4x y = -5x + 5

Question

solve the system by substitution.
y = -4x
y = -5x + 5

Explanation:

Step1: Substitute y

Since $y = - 4x$ and $y=-5x + 5$, we substitute $y$ in the second - equation:
$-4x=-5x + 5$

Step2: Solve for x

Add $5x$ to both sides of the equation:
$-4x+5x=-5x + 5+5x$
$x = 5$

Step3: Solve for y

Substitute $x = 5$ into the first equation $y=-4x$:
$y=-4\times5$
$y=-20$

Answer:

$x = 5,y=-20$