Question

Solve: \(\frac{2v-3}{2} + \frac{3v}{4}\) = 12.

(a) \(\frac{14}{108}\)

(b) \(\frac{108}{14}\)

(c) \(\frac{59}{7}\)

(d) \(\frac{7}{59}\)

I got this question in examination.

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

Answer 1

Right choice is (c) \(\frac{59}{7}\)

The explanation is: \(\frac{2v-3}{2} + \frac{3v}{4}\) = 12

∴\(\frac{4*(2v-3)}{4*2} + \frac{2*3v}{4*2}\) = 12

∴\(\frac{8v-12+6v}{8}\) = 12

∴8v – 12 + 6v = 12 * 8

∴14v – 12 = 96

∴14v = 108

∴v = \(\frac{108}{14} = \frac{59}{7}\).