Algebrahard · Past Paper

If 37x + 43y = 123 and 43x + 37y = 117, find x and y.

Ax=1, y=2
Bx=2, y=1
Cx=1, y=1
Dx=2, y=2

✓ Correct Answer: Ax=1, y=2

Add: 80x+80y=240 -> x+y=3. Subtract: -6x+6y=6 -> y-x=1. Solving x+y=3 and y-x=1 gives x=1, y=2.

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