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 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.

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