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QUESTION IMAGE

y = -2x - 4 y = x + 2

Question

y = -2x - 4
y = x + 2

Explanation:

Step1: Set the two equations equal

Since both expressions equal $y$, we set $-2x - 4=x + 2$.

Step2: Solve for $x$

Add $2x$ to both sides: $-4=x + 2+2x$, which simplifies to $-4 = 3x+2$. Then subtract 2 from both sides: $-4 - 2=3x$, so $-6 = 3x$. Divide both sides by 3: $x=\frac{-6}{3}=-2$.

Step3: Find $y$ value

Substitute $x = - 2$ into $y=x + 2$. Then $y=-2 + 2=0$.

Answer:

$x=-2,y = 0$