Question

$\frac{5x - 3y}{5y - 3x} = \frac{3}{4}$
if value of
$\frac{x}{y}$
is

​

Answer 1

Answer:

The value of $\frac{x}{y}$ is $\frac{27}{29}$.  

Step-by-step explanation:

Given : $\frac{5x-3y}{5y-3x} = \frac{3}{4}$

To find : The value of $\frac{x}{y}$

Solution :

• It is given that the expression is,  $\frac{5x-3y}{5y-3x} = \frac{3}{4}$
• We have to find the value of $\frac{x}{y}$.
• To find the value of  $\frac{x}{y}$, we have to do cross multiplication of given equation.

• So,   $\frac{5x-3y}{5y-3x} = \frac{3}{4}$
•  By cross multiplication,  we get

     ∴ $4(5x-3y)=3(5y-3x)$

      ∴ $20x-12y= 15y-9x$  

• By transferring $-9x$ to R.H.S. and $-12y$ to L.H.S., we get

        ∴ $20x+9x=15y+12y$

                 ∴ $29x = 27y$

                 ∴ $\frac{x}{y} = \frac{27}{29}$

• ∴ The value of $\frac{x}{y}$ is $\frac{27}{29}$.