Question

Solve the following linear equation

x/2-1/5=x/3+1/4

Answer 1

Refer to the attachment ❤️

Answer 2

Answer:

Value of x is 27/10 or 2.7

Step-by-step explanation:

Given:-

$\large{\therefore \frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}}$

Solution:-

$\large{ \implies \frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}}$

$\large{ \implies \frac{x}{2} - \frac{x}{3} = \frac{1}{4} + \frac{1}{5}}$

$\large{ \implies \frac{3x}{6} - \frac{2x}{6} = \frac{5}{20} + \frac{4}{20}}$

$\large {\implies \frac{3x - 2x}{6} = \frac{5 + 4}{20}}$

$\large{\implies \frac{x}{6} = \frac{9}{20}}$

By Cross multiplication,

$\implies 20 \times x = 6 \times 9$

$\implies 20x = 54$

$\implies x = \frac{54}{20}$

$\implies x = \cancel{\frac{54}{20}}$

$\implies \bf x = \frac{27}{10} = 2.7$