Home > Matrix Algebra calculators > Solving systems of linear equations using Gauss Elimination Back Substitution method calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution will be displayed step by step (In 2 parts)
Solution
Find Gauss Elimination Back Substitution 7y+2x=11,3x-y=5

Solution:
Your problem `->` Gauss Elimination Back Substitution 7y+2x=11,3x-y=5


Total Equations are `2`

`2x+7y=11 -> (1)`

`3x-y=5 -> (2)`

Converting given equations into matrix form
`2``7``11`
`3``-1``5`


`R_2 larr R_2-3/2xx R_1`

 = 
`2``7``11`
 `0` `0=3-3/2xx2`
`R_2 larr R_2-3/2xx R_1`
 `-23/2` `-23/2=-1-3/2xx7`
`R_2 larr R_2-3/2xx R_1`
 `-23/2` `-23/2=5-3/2xx11`
`R_2 larr R_2-3/2xx R_1`


`i.e.`

`2x+7y=11 ->(1)`

`-23/2y=-23/2 ->(2)`

Now use back substitution method





Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2019. All rights reserved. Terms, Privacy