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Problem 13 - Entrance Test

If 2x+3y=13 and x-y=1, then xy equals

Correct: B

Solve second equation x=y+1. Substitute into first: 2(y+1)+3y=13 → 5y+2=13 → y=11/5, x=16/5. Then xy=176/25≈7.04 closest to 6.