Question

Solve for x and y
5/x - 1/y =2.....and 3/x+2/y =3

Answer 1

5y-x=2xy.........1

3y+2x=3xy.......2


multiply 2 to equation 1

10y-2x=4xy

add 1 and 2

10y-2x +3y+2x =4xy+3xy

13y=7xy

13÷7=x

substitute in 1equation

5×7÷13-1÷y=2

35-13y=26

35-26=13y

y=9÷13

x=13÷7 y=9÷13