Question

Solve the following linear equation n/2 - 3n/4 + 5n/6 = 21​

Answer 1

Answer:

n = 300

Step-by-step explanation:

Given:-

$\frac{n}{2} -\frac{3n}{4} + \frac{5n}{6} = 12$

To find:-

Linear equation.

Solution:-

$\frac{n}{2} -\frac{3n}{4} + \frac{5n}{6} = 12 \\\\LCM \: of \: 2,4,6\: = 12\\\\\frac{n}{2}× \frac{6}{6} = \frac{6n}{12} \\\frac{3n}{4} × \frac{3}{3} = \frac{9n}{12} \\\frac{5n}{6} × \frac{2}{2} = \frac{10n}{12}$

$⇒\frac{6n+9n+10n}{12}\\⇒\frac{25n}{12}$

Therefore,

⇒ 25n/12

⇒ n = 25 × 12

⇒ n = 300

∴, n = 300