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AnilSinghBora
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Solve the following pair of linear equations: (ii) ax + by = c bx + ay = 1 + c Q.7(2)

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The best solution for linear equations. How i solve this important question of optional exercise of 3.7 of class 10th math . So please help me for solving this problem Solve the following pair of linear equations: (ii) ax + by = c bx + ay = 1 + c

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  1. Multiplying a to equation (i) and  b to equation (ii), we obtain

    a2x + aby = ac ………………… (iii)

    b2x + aby = b + bc…………… (iv)

    Subtracting equation (iv) from equation (iii),

    (a2 – b2) x = ac − bc– b

    x = (ac − bc– b)/ (a2 – b2)

    x = c(a-b) –b / (a2+b2)

    From equation (i), we obtain

    ax +by = c

    a{c(a−b)−b)/ (a2 – b2)} +by=c

    ac(a−b)−ab/ (a2 – b2)+by=c

    by=c–ac(a−b)−ab/(a2 – b2)

    by=abc – b2 c+ab/a2-b2

    y = c(a-b)+a/a2-b2

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