Solve for x and y: 3x + 2y = 7 and x - y = -1. – Algebra

Algebramedium · Past Paper

Solve for x and y: 3x + 2y = 7 and x - y = -1.

Ax=1, y=2

Bx=2, y=1

Cx=1, y=1

Dx=0, y=3.5

✓ Correct Answer: A — x=1, y=2

From the second equation, x = y - 1. Substitute into the first: 3(y-1) + 2y = 7 -> 5y - 3 = 7 -> 5y = 10 -> y = 2. Then x = 2 - 1 = 1.

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