Question

solve the equation and verify it​

Answer 1

Answer:

hope it works

Step-by-step explanation:

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Answer 2

Question :-

Solve the equation and verify it

$\frac{x}{2} + \frac{x}{8} = \frac{1}{4}$

Solution :-

$\frac{x}{2} + \frac{x}{8} = \frac{1}{4} \\ \\ \rightarrow \: \frac{4x + x}{8} = \frac{1}{4} \\ \\ \rightarrow \: \frac{5x}{8} = \frac{1}{4} \\ \\ \rightarrow \: x = \frac{1}{4} \times \frac{8}{5} = \frac{2}{5} \\ \\ \rightarrow \: x = \frac{2}{5}$

verification :

$\frac{x}{2} + \frac{x}{8} = \frac{1}{4} \\ \\ \rightarrow \: \frac{2}{5 } \times \frac{1}{2} + \frac{2}{5} \times \frac{1}{8} = \frac{1}{4} \\ \\ \rightarrow \: \frac{2}{10} + \frac{2}{40} = \frac{1}{4} \\ \\ \rightarrow \: \frac{8 + 2}{40} = \frac{1}{4} \\ \\ \rightarrow \: \frac{10}{40} = \frac{1}{4} \\ \\ \rightarrow \: \frac{1}{4} = \frac{1}{4}$

Hence verified