Question

x/2+5/9=2x/3 This is very Argent​

Answer 1

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

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

(3x-4x)/6= - 5/9

-x/6=-5/9

By cross multiplying,

-x×9=-5×6

-9x=-30

x= - 30/-9

x=10/3

Answer 2

Concept: This is a simple question based on a linear equation. Here we have to solve the equation which contains fractions also and find the value of 'X'.

Write the like terms together and then solve it.

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

To find: The value of 'X'

Solution:

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

first, write the like terms together

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

⇒ $\frac{3x-4x}{6}=-\frac{5}{9}$

⇒ $-\frac{x}{6}=-\frac{5}{9}$

⇒ $9x=30$

⇒ $x=\frac{30}{9}$

Or   $x= \frac{10}{3}$

Hence the answer to this question is $\frac{10}{3}$