Question

Tell me the answer of this question ​

Answer 1

Answer:

x = 4 ; y = 1

Step-by-step explanation:

$\frac{6}{x - 1} - \frac{3}{y - 2} = 1 \: \: \frac{5}{x - 1} + \frac{1}{y - 2} = 2 \\ let \: \frac{1}{x - 1} = a \: \: \: \: \frac{1}{y - 2} = b \\ 6a + 3b = 1 \: \: equ \: (1) \\ 5a - 1b = 2 \: \: \: \: equ \: (2) \\ multiply \: equ \: (2) \: with \: 3 \\ 15a - 3b = 6 \: \: \: equ \: (3) \\ add \: equ \: (1) \: and \: (3) \\ 21a = 7 \\ a = \frac{7}{21} \\ a = \frac{1}{3} \\ substitute \: a = \frac{1}{3} in \: equ \: (1) \\ 6( \frac{1}{3}) + 3b = 1 \\ 2 + 3b = 1 \\ 3b = 1 - 2 \\ 3b = - 1 \\ b = - \frac{1}{3} \\ a = \frac{1}{x - 1} = \frac{1}{3} \\ x - 1 = 3 \\ x = 3 + 1 \\ x = 4 \\ \\ b = \frac{1}{y - 2} = - \frac{1}{3} \\ y - 2 = - 3 \\ y = - 3 + 2 \\ y = - 1$

x = 4 ; y = 1

Hope you get your answer