SOLUTION: what is the solution set of this linear system, in detailes Y - 4Z = 8 2X - 3Y + 2Z = 1 5X - 8Y + 7Z = 1

Algebra.Com
Question 1150840: what is the solution set of this linear system, in detailes
Y - 4Z = 8
2X - 3Y + 2Z = 1
5X - 8Y + 7Z = 1

Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

........eq.1
........eq.2
........eq.3
start with
........eq.1, solve for
...........eq.1a
go to
........eq.2, substitute



......solve for

..........eq.2a
go to
........eq.3, substitute




............both sides divide by
........eq.3a
from eq.2a and eq.3a we have
......as you can see, we have on both side which means it will cancel each other
therefore,


Answer by greenestamps(13209)   (Show Source): You can put this solution on YOUR website!


If you were to try to solve this system using Cramer's rule, the denominator would be the determinant of the coefficient matrix. The coefficient matrix is
   | 0  1 -4 |
   | 2 -3  2 |
   | 5 -8  7 |

The determinant is



The determinant of the coefficient matrix is 0; that means the denominator of the fraction used in Cramer's rule is 0; since division by 0 is not allowed, that means the system has no solutions.
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 following system of linear equations: 3x-2y+4z=1 x+y+2Z=3... (answered by longjonsilver)
I've been trying to figure out how to do this problem but I can't seem to get it right.... (answered by stanbon,checkley71)
5.8 Solve the given system of equations 5x+2y-5z=11 2x-5y+2z=-1 4x-3y+4z=19... (answered by rothauserc)
Solve the system of linear equations and check any solution algebraically. (If there is... (answered by ewatrrr)
I DONT UNDERSTAND THIS PLEASE HELP..! Use Cramer’s rule to solve for y in the... (answered by tlwright)
solve the system { x-y-2z=1 x-5y+2z=5... (answered by amarjeeth123)
Hi this is a system of equations with 3 variables. 4x-3y-2z=-5 3x+2y+7z=9... (answered by Alan3354)