Question

Solve 5/x-1+1/y-2=6/x-1-3/y-2=1.

Answer 1

$\frac{1}{x - 1} = a \: \: \: \: \: \: \: and \: \: \: \: \: \: \frac{1}{y - 2} = b \\ 5a + b = 1 \\ 6a - 3b = 1 \\ by \: solving \\ a = \frac{4}{21} \: and \: b = \frac{1}{21} \\ x - 1 = \frac{21}{4} \\ x = \frac{25}{4} = 6.25 \\ y - 2 = 21 \\ y = 23$