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

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

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Jade 2 days 2021-10-12T12:30:10+00:00 1 Answer 0 views 0

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    2021-10-12T12:31:56+00:00

    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}

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