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3. y=2x+2 y=-2x-6

Question

  1. y=2x+2 y=-2x-6

Explanation:

Step1: Set the equations equal

Since both equal \( y \), set \( 2x + 2=-2x - 6 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 4x + 2=-6 \).
Subtract 2: \( 4x=-8 \).
Divide by 4: \( x = - 2 \).

Step3: Find \( y \)

Substitute \( x=-2 \) into \( y = 2x+2 \): \( y=2(-2)+2=-4 + 2=-2 \).

Answer:

The solution is \( x=-2 \), \( y=-2 \) (or the ordered pair \((-2,-2)\))