```Date: Jan 14, 2013 12:00 AM
Author: Bob Hanlon
Subject: Re: NSolve output

\$Version"9.0 for Mac OS X x86 (64-bit) (November 20, 2012)"a = x z + 2 x y + 2 y z;v = x y z;a2 = a /. x -> 2 z;v2 = v /. x -> 2 z;NSolve[{a2 == 60, v2 == 40, x == 2 z, x > 0}, {x, y, z}]{{x -> 5.1156, y -> 3.05701, z -> 2.5578}, {x -> 7.46083,  y -> 1.43719, z -> 3.73042}}Solve[{a2 == 60, v2 == 40, x == 2 z, x > 0},  {x, y, z}, Reals] // N{{x -> 5.1156, y -> 3.05701, z -> 2.5578}, {x -> 7.46083,  y -> 1.43719, z -> 3.73042}}{Reduce[{a2 == 60, v2 == 40, x == 2 z, x > 0},    {x, y, z},    Backsubstitution -> True] // N // ToRules}{{x -> 5.1156, y -> 3.05701, z -> 2.5578}, {x -> 7.46083,  y -> 1.43719, z -> 3.73042}}Bob HanlonOn Sat, Jan 12, 2013 at 9:53 PM, Berthold Hamburger<b-hamburger@artinso.com> wrote:> Hello,>> I want to solve two simple equations with NSOLVE to calculate the> dimensions of a rectangular box that is open on top. The length of the> box is twice the width and the volume and area of the box are> respectively 40 cubic feet and 60 square feet.>> I defined the area and volume:> a = xz + 2xy + 2yz> v = xyz>> then substituted x with 2z:>> a2 = a /. x->2z> v2 = v /. x->2z>>>> a2 = 6 y z + 2 z^2> v2 = 2 y z^2>> solved with NSolve:> step1 = NSolve[{a2 == 60, v2 == 40}, {y, z}, Reals] [[1,2]] //Column>> which returns the results> {y->3.05701,z->2.5578}>> I would like to get an output that returns values for all 3 variables> x,y,z  as in>> {x->5.1156,y->3.05701,z->2.5578}>> but somehow cannot find a way to do it>> What would be the correct way for doing that?>> Regards>> Berthold Hamburger>
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