Question

solve (m-3)/(m+3)=5/6​

Answer 1

Step-by-step explanation:

m=33

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Answer 2

To Solve :

$\mapsto\rm\dfrac{(m-3)}{(m+3)}=\dfrac{5}{6}$

Solution :

$\mapsto\rm\dfrac{(m-3)}{(m+3)}=\dfrac{5}{6}$

→Cross multiplying :

$\mapsto\rm{6(m-3)=5(m+3)}$

$\mapsto\rm{6m-18=5m+15}$

$\mapsto\rm{6m-5m=15+18}$

$\mapsto\rm{m=33}$

Thus,the value of m in the equation is 33.

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Let's verify our answer for more satisfaction !

$\boxed{\rm{\blue{\star{\blue{Verification}}}}}$

$\leadsto\rm\dfrac{(m-3)}{(m+2)}=\dfrac{5}{6}$

$\rm{L.H.S. = }\dfrac{(m-3)}{(m+2)}$

$\rm{R.H.S. = }\dfrac{5}{6}$

Now, Putting the value of m.

$\leadsto\rm\dfrac{(33-3)}{(33+3)}$

$\leadsto\rm\dfrac{\cancel{30}^5}{\cancel{36}^6}$$\sf{\text{(By the table of 5)}}$

$\leadsto\rm\dfrac{5}{6}$

$\sf\pink\therefore{\text{\red{Our L.H.S. = R.H.S.}}}$

Thus, Verified.

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