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 Algebra Pre-Algebra and Basic Algebra Math Forum

 July 29th, 2015, 11:12 AM #1 Newbie   Joined: Jul 2015 From: Texas Posts: 2 Thanks: 0 Linear Equations 4 Variables I usually don't have problems solving these, but this one is really quite annoying for some reason. y+z+w=6 z+2w+x=8 3w+x+y=10 x+y+z=9 From there, I got here -w-x+y=-2 2w-y=-1 w-x=-3 And then was stuck. Help? July 29th, 2015, 11:19 AM #2 Senior Member   Joined: Jun 2015 From: England Posts: 915 Thanks: 271 number the equations 1, 2, 3 and 4 From equation 1) y+z = 6-w equation 5 add equations 2 and 3 to form equation 6 Substitute for y+z in equation 6 and in equation 4 You now have two equations in two unknowns x and w you should be able to solve it all from there. Thanks from Yewsernaime July 29th, 2015, 11:38 AM #3 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond x - w = 3 3w + z = 5 x + y - z = 5 $\displaystyle \implies$ z = 2. It's easy to finish from there. Tags equations, linear, variables Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post matej Elementary Math 5 February 8th, 2015 11:46 AM Monox D. I-Fly Elementary Math 4 August 21st, 2014 06:42 AM Dreamyvarela Applied Math 1 January 8th, 2014 02:15 PM maxpalme Algebra 1 April 2nd, 2009 10:33 AM maxpalme Abstract Algebra 1 December 31st, 1969 04:00 PM

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