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Simplify: \(\frac{2x+1}{2} + \frac{2x-1}{3}\) = 1.(a) 10x = 5(b) 5x = 10(c) 10x + 5 = 0(d) 5x + 10 = 0This 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»

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



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