Question

what is the value of (1/x-1/y),if 6/x-3/y=10 and 2/x-5/y=6​

Answer 1

Answer:

7/60

Step-by-step explanation:

Given-6/x-3/y=10

2/x-5/y=6

To find-1/x-1/y=?

Solve- From 6/x-3/y=10

6y/x-3=10

y=(10x-30)/6

y=(5x-15)/3-equation 1

now from 2/x-5/y=6

2y=6x-30

y=3x-15

now in this put the value of eqn. 1

then 5x-15=9x-45

so, value of x=15/2

then again put the value of x in eqn.1

so, value of y=10

then, 1/x-1/y= 1/15/2-1/60

= 2/15-1/60

=(8-1)/60

=7/60