Question

Simplify: \(\frac{2x+1}{2} + \frac{2x-1}{3}\) = 1.

(a) 10x = 5

(b) 5x = 10

(c) 10x + 5 = 0

(d) 5x + 10 = 0

This question was addressed to me during an interview.

Question is taken from Reduce the Given Linear Equations to a Simpler Form topic in section Linear Equations in One Variable of Mathematics – Class 8

Answer 1

The correct option is (a) 10x = 5

Easiest explanation: \(\frac{2x+1}{2} + \frac{2x-1}{3}\) = 1

∴ \(\frac{3*(2x+1)+2*(2x-1)}{6}\) = 1

∴ \(\frac{6x+3+4x-2}{6}\) = 1

∴ 6x + 3 + 4x – 2 = 6

∴ 10x + 1 = 6

∴ 10x = 5