SOLUTION: Hi, my name is Keneshia and hopefully you can help me with this matrice problem. 4x1-x2+2x3=3 -4x1+x2-3x3=-10 8x1-2x2+9x3=-1 All of the problem is together.

Algebra ->  Matrices-and-determiminant -> SOLUTION: Hi, my name is Keneshia and hopefully you can help me with this matrice problem. 4x1-x2+2x3=3 -4x1+x2-3x3=-10 8x1-2x2+9x3=-1 All of the problem is together.      Log On


   



Question 819366: Hi, my name is Keneshia and hopefully you can help me with this matrice problem.
4x1-x2+2x3=3
-4x1+x2-3x3=-10
8x1-2x2+9x3=-1
All of the problem is together.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
4x%5B1%5D-x%5B2%5D%2B2x%5B3%5D=3
-4x%5B1%5D%2Bx%5B2%5D-3x%5B3%5D=-10 |Adding first 2 EQ, x%5B3%5D+=+7
8x%5B1%5D-2x%5B2%5D%2B9x%5B3%5D=-1+ |Multiplying 2nd EQ by 2 and adding to 3rd EQx%5B3%5D+=+-7
7 ≠ -7 no solution
Basic Plan:
• Use a pair of equations and eliminate one variable.
• Use a different pair of equations and eliminate the same variable.
• Solve the two-variable system found, determining the values of those variables.
• Substitute those into an original equation to find the remaining variable’s value.
Note: A false statement generated ( ≠ ) indicates no solution
A true statement (an identity) signals infinitely many solutions.