Question

class 10
Linear equations

Solve for "x" and "y"
$\frac{6}{x-1} -\frac{3}{y-1} =1 ; \frac{5}{x-1} +\frac{1}{y-2} =2$

please do step by step

Answer 1

Answer: x = 4

               y = 5

Step-by-step explanation:

Let 1/x -1 = a   ;   1/y - 2 = b

→ 6a - 3b = 1

  5a + b = 2

6a - 3b = 1

18a + 3b = 6

__________

21a          = 7

          a   = 1/3

Substituting

6(1/3) - 3b = 1

            3b = 1

              b = 1/3

1/x-1 =  1/3             1/y - 2  =  1/3

x - 1  = 3 → x = 4

y - 2  = 3 → y = 5