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simplifying a system of equations

• To: mathgroup at smc.vnet.net
• Subject: [mg105983] simplifying a system of equations
• From: Maria Davis <arbiadr at gmail.com>
• Date: Tue, 29 Dec 2009 01:18:55 -0500 (EST)

Hi!

I have a system of equations, that I want to solve symbolically and
not numerically how can I do this?
example: suppose I have the following system of equations:
x=y+z
y=e+r
z=t+u
I want to obtain x=e+r+t+u as a result.
I have tried the command
Solve[x == y + z && y == e + r && z == t + u, {x}]
 but Solve returns :x=y+z

Can you please help me?
Thank you in advance

• Follow-Ups:
  • Re: simplifying a system of equations
    • From: "Tony Harker" <a.harker@ucl.ac.uk>
  • Re: simplifying a system of equations
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: simplifying a system of equations
    • From: Tomas Garza <tgarza10@msn.com>
  • Re: simplifying a system of equations
    • From: DrMajorBob <btreat1@austin.rr.com>
  • Re: simplifying a system of equations
    • From: Adriano Pascoletti <adriano.pascoletti@dimi.uniud.it>