Question

4/x + 3/y=1;8/x - 9/y=7

Answer 1

Answer:

$value \: of \: x = \frac{1}{2} \\ value \: of \: y = \frac{ - 1}{2}$

Step-by-step explanation:

$\frac{4}{x} + \frac{3}{y} = 1...........(1) \\ \frac{8}{x} - \frac{9}{y} = 7...........(2) \\ let \:x = a \: and \: y = b \\ then \: equation \: will \: written \: as \: \\ 4a + 3b = 1.....(1) \\ 8a - 9b = 7.....(2) \\ multiply \: equation \: (1) \: by \: 9 \\ multiply \: equation \: (2) \: by \: 3 \\ 36a + 27b = 9 \\ 24a - 27b = 21 \\ 60a = 30 \\ a = \frac{1}{2} \\ put \: a = \frac{1}{2} \: in \: equation \: (1) \\ 4 \times \frac{1}{2} + 3b = 1 \\ 2 + 3b = 1 \\ 3b = - 1 \\ b = \frac{ - 1}{2} \\ now \: x = a = \frac{1}{2} \\ x = \frac{1}{2} \\ y = b = \frac{ - 1}{2} \\ y = \frac{ - 1}{2}$