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Solve Each of the Following Equation and Also Verify Your Solution: X 2 + X 8 = 1 8 - Mathematics

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ConceptIntroduction of Linear Equation

Question

Solve the following equation and also verify your solution:

\[\frac{x}{2} + \frac{x}{8} = \frac{1}{8}\]

Solution

\[\frac{x}{2} + \frac{x}{8} = \frac{1}{8}\]
\[\text{ or }\frac{4x + x}{8} = \frac{1}{8}\]
\[\text{ or }\frac{5x}{8} = \frac{1}{8}\]
\[\text{ or }x = \frac{1}{8} \times \frac{8}{5} = \frac{1}{5}\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{1}{2} \times \frac{1}{5} + \frac{1}{8} \times \frac{1}{5} = \frac{1}{10} + \frac{1}{40} = \frac{5}{40} = \frac{1}{8} = R . H . S .\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 9: Linear Equation in One Variable
Ex. 9.1 | Q: 4 | Page no. 5

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Solution Solve Each of the Following Equation and Also Verify Your Solution: X 2 + X 8 = 1 8 Concept: Introduction of Linear Equation.
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