4/x - 3/y = 1; 6/x + 15/y = 8 solve this equation

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x) / xy=1; (6y+15x) / xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion (4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3