2/x+5/y=1 and 60/x-20/y=13 find x and y​

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2/x+5/y=1 and 60/x-20/y=13
find x and y​

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Delilah 1 month 2021-08-19T09:53:59+00:00 1 Answer 0 views 0

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    2021-08-19T09:55:21+00:00

    Answer:

    \huge\bold\green{ question }

     \frac{2}{x}  +  \frac{5}{y}  = 1 \\  \\  \frac{60}{x}  -  \frac{20}{y}  = 13 \\

    let ,

     \frac{1}{x}  = u \: and \:  \frac{1}{y}  = v

    2u + 5v = 1 -  -  - (1) \\ 60u - 20v = 13 -  - (2)

    equation (1)×20 and (2)

    8u + 20v = 4 \\ 60u - 20v = 13

    _____________________

    68u = 17 \\

    u =  \frac{17}{68}  \\ u =  \frac{1}{4}

    \huge\light\orange{ value of " X" equation put in equation }

    2u + 5v = 1 \\  \\ 2 \frac{1}{4}  + 5v = 1 \\  \\  \frac{1}{2}  + 5v = 1 \\  \\  \frac{1 + 10v}{2}  = 1 \\ 1 + 10v = 2 \\ v =  \frac{1}{10}

    we \: assumed \: that \frac{1}{x} = u \: and \:  \frac{1}{y}   = v

     \frac{1}{x}  =  \frac{1}{4}  \\ x = 4

     \frac{1}{y}  =  \frac{1}{10}  \\  = y = 10

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