Question

solve for x and y 5/x-1+1/y-2=2 and 6/x-1-3/y-2=1​

Answer 1

Answer:

x = 4 and y = 2

Step-by-step explanation:

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

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

put 1/( x-1) = a and 1/(y-2) = b

5a + b = 2 -------(1)

6a - 3b = 1 --------(2(

om multiply by 3 in eq 1

3(5a + b = 2)

15a + 3b = 6 ------(3)

on adding eq. 3 and 2

15a + 3b = 6

6a - 3b = 1

21a = 7

a = 7/21

a = 1/3

put a in eq 1

5a + b = 2

5(1/3) + b = 2

5/3 + b = 2

b = 2 - 5/3

b = (6 - 5)/3

b = 1/3

1/(x-1) = a and 1/(y-2) = b

1/(x-1) = 1/3 and 1/(y-2) = 1/3

3 = x - 1 and 3 = y - 2

3 + 1 = x and 3 + 2 = y

x = 4 and y = 5