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Question
y = -5x - 40
y = 5x
Step1: Set the two equations equal
Since both equations are solved for \( y \), we can set them equal to each other: \( 5x = -5x - 40 \)
Step2: Solve for \( x \)
Add \( 5x \) to both sides: \( 5x + 5x = -40 \)
Simplify: \( 10x = -40 \)
Divide both sides by 10: \( x = \frac{-40}{10} = -4 \)
Step3: Find \( y \)
Substitute \( x = -4 \) into \( y = 5x \): \( y = 5(-4) = -20 \)
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The solution to the system is \( x = -4 \), \( y = -20 \) (or the ordered pair \((-4, -20)\))