Algebrahard · Past Paper

If 1/x + 2/y = 4 and 3/x - 1/y = 5, find x.

A1/2
B2
C1/3
D3

✓ Correct Answer: A1/2

u+2v=4, 3u-v=5. Multiply second by 2: 6u-2v=10. Add: 7u=14 -> u=2. x = 1/u = 1/2.

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