Question

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

$\frac{x}{5}-6=\frac{1}{15}x$ .

Answer 1

Given , the linear equation is $\frac{x}{5}-6=\frac{1}{15}x-------\left(1\right)$

$\Rightarrow \frac{x}{5}-\frac{1}{15}x=6$

$\Rightarrow \frac{3x-x}{15}=6$

$\Rightarrow \frac{2x}{15}=6$

$\Rightarrow 2x=6\times 15$

$\Rightarrow 2x=90$

$\Rightarrow x=\frac{90}{2}$

$\Rightarrow x=45$

So, the required solution of given equation is $x=45$ .

Check :- Putting $x=45$ in the equation $\left(1\right)$, we get

LHS $=\frac{45}{5}-6$

$=9-6$

RHS $=\frac{45}{15}$

$=3$

Since, LHS $=$ RHS $=$ $3$

Hence, solution $x=45$ is satisfy the given equation .