Question

5/x-1+1/y-2=2
6/x-1-3/y-2=1
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Answer 1

Answer:

$\frac{5}{x -1 } + \frac{1}{y - 2} = 2 \\ \frac{6}{x - 1} - \frac{3}{y - 2} = 1 \\ let \: \frac{1}{x - 1} is \: a \: and \: \frac{1}{y - 2} is \: b \\ 5a + b = 2 \\ = > \bold{ b = 2 - 5a}\\ 6a - 3b = 1 \\ = > 6a - 3(2 - 5a) = 1 \\ = > 6a - 6 + 15a = 1 \\ = > 21a = 7 \\ = > \bold{a = \frac{1}{3} = \frac{1}{x - 1} } \\ x - 1 = 3 \\ \bold{\underline{x = 4}} \\ b = 2 - 5a \\ = > b = 2 - 5( \frac{1}{3}) \\ = > b = 2 - \frac{5}{3} = \frac{1}{6} \\ \bold{b = \frac{1}{y - 2} = \frac{1}{6} } \\ = > y - 2 = 6 \\ \bold{\underline{y = 8}}$

hope it helps you.....