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Solve the following pair of linear equations: (iii) x/a – y/b = 0 ax + by = a2 + b2 Q.7(3)

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In class 10th math the optional chapter of pair of linear equations in two variables. How i solve this question, in easy method. Solve the following pair of linear equations: (iii) x/a – y/b = 0 ax + by = a2 + b2

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  1. x/a – y/b = 0

    => bx − ay = 0 ……. (i)

    ax + by = a2 + b2 …….. (ii)

    Multiplying a and b to equation (i) and (ii) respectively, we get

    b2x − aby = 0 …………… (iii)

    a2x + aby = a 3 + ab3 …… (iv)

    Adding equations (iii) and (iv), we get

    b2x + a2x = a 3 + ab2

    x (b2 + a2) = a (a2 + b2) x = a

    Using equation (i), we get

    b(a) − ay = 0

    ab − ay = 0

    ay = ab,

    y = b

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