Question

Solve x and y : x+ 6/y = 6 , 3x - 8/y = 5 [y is not equal to 0]

Answer 1

Answer:

$x + \frac{6}{y} = 6 \: ........(1) \\ 3x - \frac{8}{y} = 5 \: ........(2) \\ let \: x = a \: and \: y = b \: \: assume \: that \: values \\ then \: equation \: written \: as \\ a + 6b = 6 \: ......(1) \\ 3x - 8b = 5 \: .....(2) \\ multiply \: equation \: (1) \: by \: 8 \\ muliply \: equation \: (2) \: by \: 6 \\ 8a + 48b = 48 \\ 18a - 48b = 30 \\ 26a = 78 \\ a = 3 \\ put \: a = 3 \: in \: equation \: (1) \\ 3 + 6b = 6 \\ 6b = 3 \\ b = \frac{1}{2} \\ x = a = 3 \\ x = 3 \\ y = b = \frac{1}{2} \\ y = \frac{1}{2} \\ 2y = 1 \\ y = \frac{1}{2} \\ \\ x = 3 \: and \: y = \frac{1}{2} = answer$