Question

Solve x/3 + 1/5 = x/2 - 1/4​

Answer 1

Given:

• A linear equation is given to us.
• The equation is $\sf{\dfrac{x}{3}+\dfrac{1}{5}=\dfrac{x}{2}-\dfrac{1}{4}}$

To Find:

• The value of x .

Answer:

Here taking the given linear equation ,

$\sf{\implies\dfrac{x}{3}+\dfrac{1}{5}=\dfrac{x}{2}-\dfrac{1}{4}}$

$\sf{\implies \dfrac{x}{3}-\dfrac{x}{2}=\dfrac{-1}{5}-\dfrac{1}{4}}$

$\sf{\implies \dfrac{2x-3x}{6}=\dfrac{-4-5}{20}}$

$\sf{\implies \dfrac{-x}{6}=\dfrac{-9}{20}}$

$\sf{\implies x=\dfrac{-9\times-6}{20}}$

$\sf{\implies x=\dfrac{54}{20}}$

$\sf{\implies x=\dfrac{27}{10}}$

${\underline{\boxed{\red{\sf{\leadsto x=2.7}}}}}$

Hence value of x is 2.7