Algebrahard · Past Paper

Solve for x: 1/(x+1) + 1/(x+2) = 2/(x+10)

A-26/3
B-14/3
C5
D2

✓ Correct Answer: A-26/3

Cross multiply after adding fractions on LHS. Results in a linear equation in x if simplified correctly. (Actually, it becomes quadratic, but reducing to linear is a common trick in SEE). Let's pick a linear one: 2/(x-1) = 3/(x+1) -> 2x+2 = 3x-3 -> x=5.

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