Question

Pls solve this question I will Mark you brainliest
Solve the following equation:
$\frac{ \frac{2}{3}x + 1 }{x + \frac{1}{4} } = 5$
class 8
​

Answer 1

Step-by-step explanation:

$\frac{ \frac{2}{3}x + 1 }{x + \frac{1}{4} } = 5 \\ \frac{2}{3} x + 1 = 5(x + \frac{1}{4}) \\ \frac{2}{3} x + 1 = 5x + \frac{5}{4} \\ 1 - \frac{5}{4} = 5x - \frac{2}{3}x \\ \frac{4 - 5}{4} = \frac{15x - 2x}{3} \\ \frac{ - 1}{4} = \frac{13x}{3} \\ - 1 \times 3 = 4 \times 13x \\ - 3 = 52x \\ \large{ \boxed{ \underline{ \underline{ \frac{ - 3}{52} }} = x }} \\ \\ \large{\underline{Let's \: \: Verify }:}\\ \frac{ \frac{2}{3}x + 1 }{x + \frac{1}{4} } = 5 \\ = \frac{(\frac{2}{3} \times \frac{-3}{52})+1}{\frac{-3}{52} + \frac{1}{4}} =5\\ = \frac{\frac{-2}{52}+1}{\frac{-3+13}{52}} =5\\ = \frac{\frac{-1}{26}+1}{\frac{10}{52}} =5\\ = \frac{\frac{-1+26}{26}}{\frac{5}{26}}=5\\ = \frac{25}{26} \div \frac {5}{26}=5 \\ =\frac{25}{\cancel{26}} \times \frac{\cancel{26}}{5}=5\\ \large{\underline{\underline{5=5}}} \\ \large{Hence, \: \: Verified}$