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y = 2x + 3\ y = -2x + 15

Question

y = 2x + 3\
y = -2x + 15

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( 2x + 3=-2x + 15 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 4x + 3 = 15 \). Subtract 3: \( 4x = 12 \). Divide by 4: \( x = 3 \).

Step3: Find \( y \)

Substitute \( x = 3 \) into \( y = 2x + 3 \): \( y = 2(3)+3 = 9 \).

Answer:

The solution is \( x = 3 \), \( y = 9 \) (or the ordered pair \( (3, 9) \))