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5. y=12-3x y=2x-3

Question

  1. y=12-3x y=2x-3

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( 12 - 3x = 2x - 3 \).

Step2: Solve for \( x \)

Add \( 3x \) to both sides: \( 12 = 5x - 3 \).
Add 3 to both sides: \( 15 = 5x \).
Divide by 5: \( x = 3 \).

Step3: Substitute \( x \) to find \( y \)

Substitute \( x = 3 \) into \( y = 2x - 3 \): \( y = 2(3) - 3 = 3 \).

Answer:

The solution is \( x = 3 \), \( y = 3 \)