SOLUTION: Solve the following linear system using the Echelon Method.
x+2y− z= −1
2x − 3y + 2z = 15
−3x+ y+4z=−19
Algebra.Com
Question 841119: Solve the following linear system using the Echelon Method.
x+2y− z= −1
2x − 3y + 2z = 15
−3x+ y+4z=−19
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the following linear system using the Echelon Method.
x+2y− z= −1
2x − 3y + 2z = 15
−3x+ y+4z=−19
---------
Subtract 2 times 1st from 2nd
Add 3 times 1st to 3rd
-----------------------------------
x +2y − z = −1
0x -7y + 4z = 17
0x +7y + z = -22
-----------------------
Add the 2nd to the 3rd::
x +2y − z = −1
0x -7y + 4z = 17
0x +0y + 5z = -5
----------------------------
Solve the 3rd for "z"::
z = -1
---
Substitute for "z" in the 2nd and solve for "y":
0x - 7y -4 = 17
-7y = 21
y = -3
------
Substitute for "z" and for "y" in the 1st and solve for "x"::
x -6 + 1 = -1
x = 4
--------------------
Cheers,
Stan H.
RELATED QUESTIONS
2x + 3z = 4
3y + 2z = 5
3x + 4y = −16
(x, y, z) =
2x +... (answered by Alan3354)
Solve the system of linear equations using the Gauss-Jordan elimination method.
3x +... (answered by solver91311)
Solve the system of linear equations using the Gauss-Jordan elimination method.
x + y (answered by richwmiller)
Whats the complete solution?
x − 2y + z = 7
2x − 5y + 6z = 15... (answered by stanbon)
Solve the following system of linear equations.
x − 2y + 3z = −11
2x... (answered by lynnlo)
5. Solve the following system of equations algebraically. A trial-and-error or... (answered by rothauserc,greenestamps)
3x − 2y + z = −2
x + 3y − 4z = −5
2x − 3y... (answered by Alan3354)
Solve the system of equations. (If the system is dependent, choose any real number c for... (answered by ewatrrr)
Use Cramer's Rule to solve the system.
x − y + 2z = −15
3x + (answered by ewatrrr)