Question

11/y-7/x=1 , 9/y-4/x=6 by elimination method ​

Answer 1

Answer:

$x = \frac{1}{3} \\ y = \frac{1}{2}$

Step-by-step explanation:

$\frac{11}{y} - \frac{7}{x} = 1 \\ 11x - 7y = xy................(1) \\ \\ \frac{9}{y} - \frac{4}{x} = 6 \\ 9x - 4y = 6xy..................(2) \\ multiplyng \: eq 1\: by \: 9 \: and \: eq 2\: \: by \: 11 \\ 99x - 63y = 9xy \\ 99x - 44y = 66xy \\ (-) \: \: \: (+) \: \: \: \: (-) \\ .............................. \\ = > - 19y \: \: \: \: \: \: = - 57xy \\ = > \frac{1}{3} \: \: \: \: \: \: \: \: \: \: \: \: = x \\ \\ \\ putting \: x = \frac{1}{3} \: in \: eq2 \\ = > 9 \times \frac{1}{3} - 4y = 6 \times \frac{1}{3} y \\ = > 3 - 4y = 2y \\ = > 3 = 6y \\ = > y = \frac{1}{2}$