Question

Solve: \(\frac{14y-12}{12y-14} = \frac{1}{2}\)

(a) \(\frac{10}{16}\)

(b) \(\frac{8}{5}\)

(c) \(\frac{5}{8}\)

(d) \(\frac{16}{10}\)

This question was addressed to me in class test.

The origin of the question is Reduce the Linear Equation and Find the Value of the Variable topic in section Linear Equations in One Variable of Mathematics – Class 8

Answer 1

Right answer is (c) \(\frac{5}{8}\)

Easy explanation: \(\frac{14y-12}{12y-14} = \frac{1}{2}\)

∴2 * (14y – 12) = 1 * (12y – 14)

∴28y – 24 = 12y – 14

∴28y – 12y = -14 + 24

∴16y = 10

∴y = \(\frac{10}{16} = \frac{5}{8}\).