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46.49 and 21.51. Explanation: x*y = 1000 and x+y = 68, so y=68-x which when we substitute this into the first equation, we have: x*(68-x) = 1000 which is the same as: -x^2+68x -1000 = 0. I find it easier to work with x^2-68x+1000 =0 which in the form of a quadratic (ax^2+bx+c =0) is: a=1,b=-68 and c=1000, so: using the quadratic equation, see link below, we have x= 21.51 or x = 46.49. http://en.wikipedia.org/wiki/Quadratic_equation
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