Question

If x/ y = 3/5 then find the value of (5x – 2y) / (6x + 7y)

Answer 1

Step-by-step explanation:

If x/ y = 3/5 then find the value of (5x – 2y) / (6x + 7y)

Answer 2

Answer:

Required value of the given term is $\frac{9}{25}$

Step-by-step explanation:

Given,

$\frac{x}{y} = \frac{3}{5}$

We want to find value of $\frac{5x - 2y}{6x + 7y}$

Here denominator is (6x+7y) and numerator is (5x-2y)

We are dividing denominator and numerator by y,

So,

$\frac{ \frac{5x - 2y}{y} }{ \frac{6x + 7y}{y} } \\ = \frac{5 \frac{x}{y} - 2 \frac{y}{y} }{6 \frac{x}{y} + 7 \frac{y}{y} } \\ = \frac{5 \frac{x}{y} - 2}{5 \frac{x}{y} - 7 }$

We are putting value of

$\frac{x}{y} = \frac{3}{5}$

$= \frac{5 \times \frac{3}{5} - 2 \times \frac{3}{5} }{6 \times \frac{3}{5} + 7} \\ = \frac{ \frac{15}{5} - \frac{6}{5} }{ \frac{18}{5} + 7 } \\ = \frac{ \frac{15 - 6}{5} }{ \frac{18 + 7}{5} } \\ = \frac{ \frac{9}{5} }{ \frac{25}{5} } \\ = \frac{9}{5} \times \frac{5}{25} \\ = \frac{9}{25}$

This is a problem of Division.

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