# SOLUTION: write the system as a matirx x-3y+2z=-21 y-2z=12 z=2 solve the system by gauss- jordan elimintaion

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: write the system as a matirx x-3y+2z=-21 y-2z=12 z=2 solve the system by gauss- jordan elimintaion      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Matrices-and-determiminant Question 607723: write the system as a matirx x-3y+2z=-21 y-2z=12 z=2 solve the system by gauss- jordan elimintaionAnswer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website!```x-3y+2z=-21 y-2z=12 z=2 ``` Convert to matrix form: ``` 1 -3 2 -21 0 1 -2 12 0 0 1 2 ``` Now add 2 times the 3rd row to the 2nd row (and replace the second row with this result) ``` 1 -3 2 -21 0 1 0 16 0 0 1 2 ``` Then add -2 times the 3rd row to the 1st row (and replace the first row with this result) ``` 1 -3 0 -25 0 1 0 16 0 0 1 2 ``` Finally, add 3 times the 2nd row to the 1st row (and replace the first row with this result) ``` 1 0 0 23 0 1 0 16 0 0 1 2 ``` The right hand column represents the solutions. So the solutions are x = 23, y = 16 and z = 2