Question

$\LARGE{ \underline{ \blue{ \sf{Question \: of \: the \: Day:}}}}$
Solve for x:-
$\frac{2x}{5} - \frac{x}{2} = \frac{5}{2}$
${\orange{\overbrace{ \red{ \overbrace{\red{\underbrace \color{blue} {\underbrace \color{black} {\fcolorbox{magenta}{lime}{\fcolorbox{red}{black}{\fcolorbox{pink}{pink}{ \fcolorbox{blue}{blue}{{\bf{{{{\pink{Note}}}}}}}}}}}}}}}}}}$
# No Spam
# No Plagiarism
# No copy-paste

$\huge\orange{\underline\blue{\underline\green{\underline{ \mathcal\orange{With}\:\mathcal\green{Regards}}}}}$
​

Answer 1

Given :

$\sf\dfrac{2x}{5} - \dfrac{x}{2} = \dfrac{5}{2}$

To find :

• The value of x

Solution :

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

LCM of 5 and 2 = 10

$\sf \implies \dfrac{4x - 5x}{10} = \dfrac{5}{2}$

$\sf \implies \dfrac{ - x}{10} = \dfrac{5}{2}$

$\sf \implies - x = \dfrac{5}{2} \times 10$

$\sf \implies - x = \dfrac{5}{\cancel2 \: 1} \times \cancel{10} \: \: 5$

$\sf \implies - x =25$

$\sf \implies x = - 25$

Answer : -25

_____________________

Verification of Answer :

To verify your answer put x = -25 in :-

$\sf\dfrac{2x}{5} - \dfrac{x}{2} = \dfrac{5}{2}$

If we get RHS = LHS then our answer is correct.

So put x = -25 in LHS :-

$\implies\dfrac{2(-25)}{5} -\dfrac{(-25)}{2}$

$\implies 2(-5)+\dfrac{25}{2}$

$\implies -10+\dfrac{25}{2}$

$\implies \dfrac{25-20}{2} =\dfrac{5}{2}$

Therefore LHS = RHS

hence verified

Answer 2

Answer:

Pls find your answer as attached

Step-by-step explanation:

Hope you understood

Pls mark as brainlist as I am going to get a new rank

Also pls thanks if it helps

Pls inbox