If 2/x + 3/y = 13 and 5/x - 4/y = -2, find x. – Algebra

Algebrahard · Past Paper

If 2/x + 3/y = 13 and 5/x - 4/y = -2, find x.

A1/2

B1/3

✓ Correct Answer: A — 1/2

Let u = 1/x, v = 1/y. 2u+3v=13, 5u-4v=-2. Multiply eq1 by 4 and eq2 by 3: 8u+12v=52, 15u-12v=-6. 23u=46 -> u=2. Since u=1/x, x=1/2.

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