Question

Find out the value of a in
x in the
the equations
given
x/3 + 5/9 = 2x/3​

Answer 1

Given :

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

Process:

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

=> (3x)/9 + 5/9 = (6x)/9

=> (3x +5 )/9 = (6x)/9 (Here 9 will be cancelled because both are multipled with 9)

=> 3x + 5 = 6x

=> 3x - 6x = (-5)

=> (-3x) = (-5). ( Negative sign got cancelled )

=> 3x = 5

=> x = 5/3

Answer:

x = 5/3

Answer 2

Answer:

$\large\tt\color{pink}\underline{\underline{Question:}}$

$\textsf{Find the value of x in the equation}$

$\implies\frac{x}{3} + \frac{5}{9} = \frac{2x}{3}$

$\large\tt\color{purple}\underline{\underline{Given:}}$

$\mapsto \: \frac{x}{3} + \frac{5}{9} = \frac{2x}{3}$

$\large\tt\color{red}\underline{\underline{To\:find}}$

$\bold{Value\: of\: x}$

$\large\tt\color{orange}\underline{\underline{Concept:}}$

$\textsf{Do the subtract of x and also use the cross}$

$\textsf{multiplication formula.}$

$\large\tt\color{blue}\underline{\underline{Solution:}}$

$\bold{ \frac{x}{3} + \frac{5}{9} = \frac{2x}{3} }$

$\rightarrow \bold{ \frac{5}{9} = \frac{2x}{3} - \frac{x}{3} }$

$\rightarrow\bold{\frac{5}{9}=x(\frac{2}{3}-\frac{1}{3})}$

$\rightarrow\bold{\frac{5}{9}=x(\frac{2-1}{3})}$

$\rightarrow\bold{\frac{5}{9}=x(\frac{1}{3})}$

$\rightarrow\bold{\frac{5}{9}=\frac{1}{3}x}$

$\rightarrow\bold{\frac{5}{9}÷\frac{1}{3}=x}$

$\rightarrow\bold{\frac{5}{9}×\frac{3}{1}=x}$

$\rightarrow\bold{\frac{5}{3}=x}$

_______________________________________

$\bold{So \: the \: value \: of \: x \: is \: \frac{5}{3}}$

HOPE IT HELPS YOU