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ax+by=(a-b) bx-ay=(a+b) This question of pair …

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ax+by=(a-b) bx-ay=(a+b) This question of pair of linear equation in two variable...plz solve it

    • Posted by Sonam Singh 6 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Sonam Singh 6 years, 7 months ago

    Thnku..

    0Thank You

    Yogita Ingle 6 years, 7 months ago

    Given, 

    ax + by = a - b   .......1  

    bx - ay = a + b   .......2

    Multiply by a in equation 1 and b in equation 2, we get

    a2 x + aby = a2 - ab   .......3  

    b2 x - aby = ab + b2   .......4

    Add equation 3 and 4, we get

          a2 x + aby + b2 x - aby = a2 - ab + ab + b2

    => a2 x + b2 x = a2 + b2 

    => x(a2 + b2 ) = a2 + b2

    => x = (a2 + b2 )/(a2 + b2 ) 

    => x = 1

    Put value of x in equation 1, we get

    => a + by = a - b

    => by = a - b - a

    => by = -b

    => y = -b/b

    => y = -1

    So, x = 1, y = -1

    1Thank You

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