Algebrahard · Past Paper

Solve for x and y: 1/x + 1/y = 5/6 and 1/x - 1/y = 1/6

Ax=2, y=3
Bx=3, y=2
Cx=1, y=6
Dx=6, y=1

✓ Correct Answer: Ax=2, y=3

Let a=1/x, b=1/y. a+b=5/6, a-b=1/6. 2a=6/6=1 -> a=1/2 -> x=2. b=2/6=1/3 -> y=3.

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