Question

Solve: \(\frac{2x-11}{2} + \frac{x}{7}\) = 5.

(a) x = \(\frac{147}{16}\)

(b) x = \(\frac{16}{147}\)

(c) x = \(\frac{14}{167}\)

(d) x = \(\frac{167}{14}\)

I have been asked this question in an online quiz.

My enquiry is from Reduce the Linear Equation and Find the Value of the Variable in section Linear Equations in One Variable of Mathematics – Class 8

Answer 1

Right answer is (a) x = \(\frac{147}{16}\)

Easy explanation: \(\frac{2x-11}{2} + \frac{x}{7}\) = 5

∴\(\frac{7*(2x-11)}{7*2} + \frac{2*x}{2*7}\) = 5

∴\(\frac{14x-77+2x}{14}\) = 5

∴16x – 77 = 5 * 14

∴16x – 77 = 70

∴16x = 147

∴x = \(\frac{147}{16}\).