My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Thanks Tree1Thanks
  • 1 Post By studiot
Reply
 
LinkBack Thread Tools Display Modes
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?
Yewsernaime is offline  
 
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
studiot is offline  
July 29th, 2015, 11:38 AM   #3
Global Moderator
 
greg1313's Avatar
 
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.
greg1313 is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
equations, linear, variables



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
solving a system of two non-linear equations with two variables matej Elementary Math 5 February 8th, 2015 11:46 AM
System of Linear Equations in Four Variables Monox D. I-Fly Elementary Math 4 August 21st, 2014 06:42 AM
various linear equations with various variables.. Dreamyvarela Applied Math 1 January 8th, 2014 02:15 PM
Systems of linear equations in two variables maxpalme Algebra 1 April 2nd, 2009 10:33 AM
Systems of linear equations in two variables maxpalme Abstract Algebra 1 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.