Question

x/2+5/9=2x/3 find the value of X​

Answer 1

Step-by-step explanation:

x/2+5/9=2x/3

2x/3-x/2=5/9

x/6=5/9

x=5/9×6

x=10/3

Answer 2

$\huge\boxed{\mathbb{\underline{\underline{GIVEN}}}}$

$\huge\textsf{ \dfrac{x}{2}+\dfrac{5}{9}=\dfrac{2x}{3} }$

$\huge\bf\mathfrak{\pink{\underline{\underline{Answer}}}}$

$\textsf{ \dfrac{10}{3} }$

$\huge\boxed{\mathfrak{\red{\underline{\underline{Explanation}}}}}$

$\huge\textsf{ \dfrac{x}{2}+\dfrac{5}{9}=\dfrac{2x}{3} }$

$\textbf{We take the LCM of the denominator of LHS }$

$\textbf{LCM \:is\:18}$

$\huge\textsf{ \dfrac{9x+10}{18}=\dfrac{2x}{3} }$

$\textbf{Dividing the denominators of LHS and RHS by 3}$

$\huge\textsf{ 9x+10=12x }$

$\huge\textsf{ -3x=-10 }$

$\huge\textsf{ x=\dfrac{10}{3} }$

$\therefore\texttt{ The\: value\: of\: x\: is \: \dfrac{10}{3} }$