SOLUTION: Solve. If there is no solution or if dependent, so state. x - y + z = -11 x + y + z = -5 x + y - z = 1

Algebra.Com
Question 82711This question is from textbook
: Solve. If there is no solution or if dependent, so state.
x - y + z = -11
x + y + z = -5
x + y - z = 1
This question is from textbook

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve. If there is no solution or if dependent, so state.
x - y + z = -11
x + y + z = -5
x + y - z = 1
---------------
Using Cramer's Method:
Coefficient determinant = (-1+1-1)-(1+1+1)=-4
The x-determinant = 5--15=20
Therefore x=20/-4=-5
-----------------
The y-determinant = -5-7 = -12
Therefore y = -12/-4 = 3
------------------
the z-determinant = -5-(-17) = 12
Therefore z = 12/-4 = -3
=======================
-------------
x=-5; y=3[ z=-3
========================
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
This solution was generated by the "Step-by-Step Linear Equations" solver which can be found here
Photo Sharing and Video Hosting at Photobucket

RELATED QUESTIONS

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)
Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)
Solve the linear system...if the system is inconsistent or dependent, so state:... (answered by AnlytcPhil)
Solve the system of equations. (If the system is dependent, enter a general solution in... (answered by Alan3354)
Solve the system of equations. (If the system is dependent, enter a general solution in... (answered by TimothyLamb)
Solve the system of equations. If the system has no solution, say it is inconsistent.... (answered by tommyt3rd)
Use matrices to solve the system of equations (if possible). Use Gaussian elimination... (answered by richwmiller)
Use matrices to solve each system of equations. If a system has no solution, so indicate. (answered by Edwin McCravy)
Hi there my question is: Solve for (x, y, z) 2x + 5y + 3z = 16 x/5 + y/2 + z/3 = 2... (answered by ankor@dixie-net.com)