Question

Find the solution of the following equations . Also , verify your answer .

$\mathrm{x}-\frac{2}{5}=\frac{4}{10}$

Answer 1

Given , the linear equation is $\mathrm{x}-\frac{2}{5}=\frac{4}{10}--------\left(1\right)$

Transpose $\frac{-2}{5}$ on the RHS , we get

$\Rightarrow x=\frac{4}{10}+\frac{2}{5}$

$\Rightarrow x=\frac{4+4}{10}$

$\Rightarrow x=\frac{8}{10}$

$\Rightarrow x=\frac{4}{5}$

So, the required solution of the equation is $x=\frac{4}{5}$ .

Check :- Putting $x=\frac{4}{5}$ in the given equation $\left(1\right)$,

LHS $=\frac{4}{5}-\frac{2}{5}$

$=\frac{2}{5}$

Since, LHS=RHS $=$$7$

Hence, solution is verified.