Question

37. If (5x + 3y)/(5y - 3x) = 3/4, the value of x:y is ​

Answer 1

Answer:

The ration will be 13/29

Step-by-step explanation:

see photo for better understanding step by step.

APPROACH will be like as follows:

just rearrange both sides by cross multiply.

the seperate coefficients of X and Y on both sides.

you will get the ratio.

Answer 2

Answer:

The value of x:y is 3 : 29

Step-by-step explanation:

Given -

$\frac{(5x + 3y)}{(5y - 3x) } = \frac{3}{4}$

To find -

The value of x:y

Solution -

Given ,

$\frac{(5x + 3y)}{(5y - 3x) } = \frac{3}{4}$

Cross multiply the given ration we get

$4 (5x + 3y) =3 (5y - 3x)$

$20x+12y=15y-9x$

For subtraction the variable should be same.

$20x+9x=15y-12y$

$29 x = 3 y$

$\frac{x}{y} = \frac{3}{29}$

∴ The value of x:y is 3 : 29 .