Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

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How do solve the problem, if X=1/x and Y=1/y, solve 12/x-12/y=7?

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There are no solutions.

x = 1/x
multiply both sides by x: x^2 = 1
take the square root of both sides x = sqrt(1)
this gives x = 1 or x = -1
similarly, y = 1 or y = -1

12x = 12 or 12x = -12
12y = 12 or 12y = -12

subtracting 12y from 12x can only give 24, 0, or -24, never 7.

Posted on Nov 18, 2014

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