Question
Solve the following equations :
$x=\frac{4}{5}(x+10)$
$x=\frac{4}{5}(x+10)$
✓
Answer
We have, $\quad x=\frac{4}{5}(x+10)$
$\Rightarrow \quad 5 x=4(x+10) \quad$ [multiplying both sides by 5]
$\Rightarrow \quad 5 x=4 x+40$
$\Rightarrow \quad 5 x-4 x=40 \quad$ [transposing $4 x$ to LHS]
$\therefore x=40$, which is the required solution.
Check For $x=40$,
$LHS =40$
$RHS =\frac{4}{5}(40+10)=40$
$\therefore \quad$ LHS $=$ RHS $\quad$ [as required]
$\Rightarrow \quad 5 x=4(x+10) \quad$ [multiplying both sides by 5]
$\Rightarrow \quad 5 x=4 x+40$
$\Rightarrow \quad 5 x-4 x=40 \quad$ [transposing $4 x$ to LHS]
$\therefore x=40$, which is the required solution.
Check For $x=40$,
$LHS =40$
$RHS =\frac{4}{5}(40+10)=40$
$\therefore \quad$ LHS $=$ RHS $\quad$ [as required]
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