Question

x/2+5/9=2x/3 find value of x

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Answer 1

Answer:

10/3

Step-by-step explanation

lcm = 6

4x-3x/6 = 5 /9

x=5 *6 / 9

x=10 /3

Answer 2

Given:

• A linear equation is given .
• The equation is $\sf{\dfrac{x}{2}+\dfrac{5}{9}=\dfrac{2x}{3}}$

To Find:

• The value of x.

Answer:

Taking the given equation ,

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

$\sf{\implies \dfrac{9x+10}{18}=\dfrac{2x}{3}}$

$\sf{\implies 3(9x+10)= 18\times 2x}$

$\sf{\implies 27x + 30 = 36x}$

$\sf{\implies 36x - 27x = 30}$

$\sf{\implies 9x = 30}$

$\sf{\implies x =\dfrac{30}{9}}$

$\red{\bf{\leadsto x =\dfrac{10}{3}}}$

Hence the value of x is 10/3.