Solve each of the following equations and also verify your solution :

$\frac{7}{2} x - \frac{5}{2} x = \frac{20}{3} x + 10$

Open in App

Solution

$\frac{7}{2} x - \frac{5}{2} x = \frac{20}{3} x + 10 \Rightarrow \frac{7}{2} x - \frac{5}{2} x - \frac{20}{3} x = 10 \frac{21 x - 15 x - 40 x}{6} = 10 \Rightarrow= \frac{21 x - 55 x}{6} = 10 \Rightarrow - \frac{34}{6} x = 10 - 34 x = 10 \times 6 \Rightarrow x = \frac{10 \times 6}{- 34} = \frac{- 30}{17} ∴ x = \frac{- 30}{17}$
Verification:
$L . H . S . = \frac{7}{2} x - \frac{5}{2} x = \frac{7}{2} \times \frac{- 30}{17} - \frac{5}{2} \times \frac{- 30}{17} = \frac{- 105}{17} + \frac{75}{17} = \frac{- 105 + 75}{17} = \frac{- 30}{17} R . H . S . = \frac{20}{3} x + 10 = \frac{20}{3} \times \frac{- 30}{17} + 10 = \frac{- 200}{17} + 10 = \frac{- 200 + 170}{17} = \frac{- 30}{17} ∴ L . H . S . = R . H . S .$

Suggest Corrections

Similar questions

\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}

Solve each of the following equations and also verify your solution :

$\frac{x}{2} - \frac{4}{5} + \frac{x}{5} + \frac{3 x}{10} = \frac{1}{5}$

Solve each of the following equations and also verify your solution :

(x + 2)(x+3)+(x-3)(x-2)-2x(x+1)=0

Join BYJU'S Learning Program