Question

5/x-1+1/y-2=2; 6/x-1-3/y-2=1 ​

Answer 1

Answer:

x = 4

y = 5

Step-by-step explanation:

5/(x - 1) + 1/(y - 2) = 2 L1

6/(x - 1) - 3/(y - 2) = 1 ​ L2

3L1 + L2

15/(x - 1) + 3/(y - 2) = 6

 6/(x - 1) - 3/(y - 2) = 1

21/(x - 1) = 7

21 = 7(x - 1)

x - 1 = 21/7

x - 1 = 3

x = 3 + 1

x = 4

5/(x - 1) + 1/(y - 2) = 2

5/(4 - 1) + 1/(y - 2) = 2

5/3 + 1/(y - 2) = 2

1/(y - 2) = 2 - 5/3

1/(y - 2) = 1/3

3  = y - 2

y - 2 = 3

y = 3 + 2

y = 5