Question

3x-5y/5z+3y = x+5z/y-5x = y-z/x-z then show that every ratio = x/y

Answer 1

Answer:

Step-by-step explanation:

Let each ratio be equal to k, then

3x-5y/5z+3y = x+5z/y-5x = y-z/x-z =K

3x-5y = k(5z+3y)---(1)

x+5z = k(y-5x)---(2)

y-z = k(x-z)----(3)

Adding (1) +(2) + 5times(3), we get

4x = k(4y)

=>k = x/y

Hence, each ratio is equal to x/y.