Question

if 7m + 4n = 3m + 2n then m/n = ?​

Answer 1

SOLUTION

GIVEN

7m + 4n = 3m + 2n

TO DETERMINE

The value of

$\displaystyle \sf{ \frac{m}{n} }$

EVALUATION

Here it is given that

7m + 4n = 3m + 2n

$\displaystyle \sf{ \implies \: 7m - 3m = 2n - 4n}$

$\displaystyle \sf{ \implies \: 4m = - 2n }$

$\displaystyle \sf{ \implies \: \frac{m}{n} = - \frac{2}{4} }$

$\displaystyle \sf{ \implies \: \frac{m}{n} = - \frac{1}{2} }$

FINAL ANSWER

$\displaystyle \sf{ \frac{m}{n} = - \frac{1}{2} }$

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Answer 2

Given:

7m + 4n = 3m + 2n

To Find:

The value of m/n

Solution:

• It is given that 7m + 4n = 3m + 2n. The following is the process to find the value of m/n.

• According to the given question:

$= > 7m + 4n = 3m - 2n$

$= > 7m - 3m = 2n - 4n$

$= > 4m = - 2n$

$= > \dfrac{m}{n} = \dfrac{ - 2}{4}$

$= > \dfrac{m}{n} = \dfrac{ - 1}{2}$

Hence, the value of m/n = -1/2

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