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Solve 23x_29y=98and29 x_23y=110

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Solve 23x_29y=98and29 x_23y=110

    • Posted by Rajkamal Singh 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 10 months ago

    23x − 29y = 98    ....(1)

    29x − 23y = 110     ...(2)

    Adding (1) and (2), we get

    52x − 52y = 208

    52 (x-y) =208

    ⇒x − y = 4     .....(3)

    Subtracting (2) from (1), we get

    −6x − 6y = −12
    ⇒x + y = 2      ....(4)
    adding (3) and (4), we get
    2x = 6
    ⇒x = 3
    Now, from (4), we get
    y = −1

    Hence, x=3 and y= -1.

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