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25 January, 13:43

Y/a - b = y/b - a, if a≠b

solve for y

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Answers (1)
  1. 25 January, 16:05
    0
    y = ab if a≠b

    Step-by-step explanation:

    y/a - b = y/b - a

    multiply each side by ab to clear the fractions

    ab (y/a - b) = ab (y/b - a)

    distribute

    ab * y/a - ab*b = ab * y/b - ab * a

    b*y - ab^2 = ay - a^2 b

    subtract ay on each side

    by - ay - ab^2 = ay-ay - a^2b

    by - ay - ab^2 = -a^2b

    add ab^2 to each side

    by-ay - ab^2 + ab^2 = ab^2 - a^2b

    by-ay = ab^2 - a^2b

    factor out the y on the left, factor out an ab on the right

    y (b-a) = ab (b-a)

    divide by (b-a)

    y (b-a) / (b-a) = ab (b-a) / (b-a) b-a ≠0 or b≠a

    y = ab
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