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QUESTION IMAGE

y = x - 6\ y = -5x

Question

y = x - 6\
y = -5x

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( x - 6=-5x \).

Step2: Solve for \( x \)

Add \( 5x \) to both sides: \( x + 5x-6=-5x + 5x \), so \( 6x-6 = 0 \). Add 6 to both sides: \( 6x=6 \). Divide by 6: \( x = 1 \).

Step3: Find \( y \)

Substitute \( x = 1 \) into \( y=-5x \), so \( y=-5\times1=-5 \).

Answer:

The solution is \( x = 1 \), \( y=-5 \)