Question

solve the system of equations.
$y = -x + 6$
$y = -6x - 4$
(□, □)
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Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set them equal to each other: \( -x + 6=-6x - 4 \)

Step2: Solve for \( x \)

Add \( 6x \) to both sides: \( -x+6x + 6=-6x+6x - 4 \) which simplifies to \( 5x + 6=-4 \)
Subtract 6 from both sides: \( 5x+6 - 6=-4 - 6 \) which gives \( 5x=-10 \)
Divide both sides by 5: \( \frac{5x}{5}=\frac{-10}{5} \), so \( x = - 2 \)

Step3: Find \( y \)

Substitute \( x=-2 \) into \( y=-x + 6 \): \( y=-(-2)+6=2 + 6=8 \)

Answer:

\((-2, 8)\)