# Solve the Following Equation and Verify Your Answer: 2 − Y Y + 7 = 3 5 - Mathematics

#### Question

$\frac{2 - y}{y + 7} = \frac{3}{5}$

#### Solution

$\frac{2 - y}{y + 7} = \frac{3}{5}$

$\text{ or }10 - 5y = 3y + 21 (\text{ After cross multiplication })$

$\text{ or }3y + 5y = 10 - 21$

$\text{ or }8y = - 11$

$\text{ or }y = \frac{- 11}{8}$

$\therefore y = \frac{- 11}{8}\text{ is the solution of the given equation . }$

$\text{ Check: }$

$\text{ Substituting }y = \frac{- 11}{8}\text{ in the given equation, we get: }$

$\text{ L . H . S . }= \frac{2 - \frac{- 11}{8}}{\frac{- 11}{8} + 7} = \frac{16 + 11}{- 11 + 56} = \frac{27}{45} = \frac{3}{5}$

$\text{ R . H . S . }= \frac{3}{5}$

$\therefore\text{ L . H . S . = R . H . S . for }y = \frac{- 11}{8}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.3 | Q 2 | Page 17

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Solve the Following Equation and Verify Your Answer: 2 − Y Y + 7 = 3 5 Concept: Linear Equation in One Variable.