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Solve Each of the Following Equation and Also Verify Your Solution: 2 X 3 − 3 X 8 = 7 12 - Mathematics

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ConceptIntroduction of Linear Equation

Question

Solve the following equation and also verify your solution:
\[\frac{2x}{3} - \frac{3x}{8} = \frac{7}{12}\]

Solution

\[\frac{2x}{3} - \frac{3x}{8} = \frac{7}{12}\]
\[\text{ or }\frac{16x - 9x}{24} = \frac{7}{12}\]
\[\text{ or }\frac{7x}{24} = \frac{7}{12}\]
\[\text{ or }x = \frac{7}{12} \times \frac{24}{7} = 2\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{4}{3} - \frac{6}{8} = \frac{32 - 18}{24} = \frac{7}{12}\]
\[R . H . S . = \frac{7}{12}\]
\[ \therefore R . H . S . = L . H . S . \text{ for }x = 2\]

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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: 5 | Page no. 5

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Solution Solve Each of the Following Equation and Also Verify Your Solution: 2 X 3 − 3 X 8 = 7 12 Concept: Introduction of Linear Equation.
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