Question

To solve d algebra 3m/5=2/3

Answer 1

Answer:

10/9

Step-by-step explanation:

=> 3m / 5 = 2/3

=> m = 2 / 3 * 5/3

=> m = 10/9

Answer 2

ANSWER:

Given:

• 3m/5 = 2/3

To Find:

• Value of m

Solution:

We are given that,

$\implies \dfrac{3m}{5}=\dfrac{2}{3}$

Transposing 5 to RHS,

$\implies 3m=\dfrac{2}{3}\times5$

$\implies 3m=\dfrac{2\times5}{3}$

So,

$\implies 3m=\dfrac{10}{3}$

Transposing 3 to RHS,

$\implies m=\dfrac{10}{3}\times\dfrac{1}{3}$

So,

$\implies m=\dfrac{10}{3\times3}$

Hence,

$\implies\bf m=\dfrac{10}{9}$

Therefore, value of m is 10/9.

Verification:

We are given that,

$\implies \dfrac{3m}{5}=\dfrac{2}{3}$

Substituting value of m as 10/9,

$\implies \dfrac{3\!\!\!/\left(\frac{10}{9\!\!\!/^{\:\:3}}\right)}{5}=\dfrac{2}{3}$

So,

$\implies \dfrac{\frac{10}{3}}{5}=\dfrac{2}{3}$

Hence,

$\implies \dfrac{10\!\!\!\!/^{\:2}}{3\times5\!\!\!/}=\dfrac{2}{3}$

$\implies \dfrac{2}{3}=\dfrac{2}{3}$

As, LHS = RHS,

HENCE VERIFIED!!