Question

Please solve this question​

Answer 1

Answer:

$\frac{6}{x - 1} - \frac{3}{y - 2} = 1..........(1) \\ \\ \frac{5}{x - 1} + \frac{1}{y - 2} = 2.......(2) \\ equation \: 1 \: and \: 2 \ \: putting \: togather \\ \\ \frac{30}{x - 1} - \frac{15}{y - 2} = 5..........(3) \\ \\ \frac{30}{x - 1} + \frac{6}{y - 2} = 12.......(4) \\ - \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: - \\ = = = = = = = = = = = = = = \\ - \frac{15}{y - 2} - \frac{6}{y - 2} = - 7 \\ \\ \frac{ - 15 - 6}{y - 2} = - \frac{7}{1} \\ \\ 7y - 14 = 21 \\ 7y = 21 + 14 \\ 7y = 35 \\ y = 5 \\ now \: putting \: the \: value \\ \: of \: y \: in \: equation1 \\ \frac{6}{x - 1} - \frac{3}{y - 2} = 1 \\ \\ \frac{6}{x - 1} - \frac{3}{5 - 2} = 1 \\ \\ \frac{6}{x - 1} - \frac{3}{3} = 1 \\ \\ \frac{6}{x - 1} = 1 + \frac{3}{3} \\ \\ \frac{6}{x - 1} = \frac{6}{3} \\ 6x - 6 = 18 \\ 6x = 18 + 6 \\ 6x = 24 \\ x = 4$

hence:-

X=4, Y=5

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