Question

Solve the following equations
5/x-1+1/y-2=2
6/x-1-3/y-2=2

Answer 1

Answer:

let's,

1/x - 1= a

1/y -2=b

5a+b=2

6a-3b=2

equation i×3 & ii×1

15a+3b=6

6a-3b=2

21a=8

a=8/21

put the value of a in equation i

5a+b=2

5×8/21+b=2

b=2-40/21

b=42-40/21

b=2/21

now,

1/ x -1=a

1/x -1=8/21

8x-8=21

8x=29

x=29/8

1/y -2=b

1/y -2=2/21

2y-4=21

2y=25

y=25/2

x=29/8

y=25/2