SOLUTION: how do you find the answer to x, y, and z if you have to use matrix row reduction? this is the problem: x+2y+3z=3 2x+3y+4z=2 -3x-5y+2z=4 I know how to do it with a calcul

Algebra ->  Matrices-and-determiminant -> SOLUTION: how do you find the answer to x, y, and z if you have to use matrix row reduction? this is the problem: x+2y+3z=3 2x+3y+4z=2 -3x-5y+2z=4 I know how to do it with a calcul      Log On


   

Question 532859: how do you find the answer to x, y, and z if you have to use matrix row reduction?
this is the problem:
x+2y+3z=3
2x+3y+4z=2
-3x-5y+2z=4
I know how to do it with a calculator but I'm not allowed to use one this time. Please show me step by step how to do it. I would appreciate it if it could be by before tonight. Thanks.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiply r1 by -2 and add to r2; multiply r1 by 3 and add to r3

x + 2y + 3z = 3
___-y - 2z = -4
___ y + 11z = 13

multiply r2 by 2 and add to r1; add r3 to r2

x ___ - z = -5
___ ___ + 9z = 9
___ y + 11z = 13

divide r2 by 9 and add to r1; multiply r2 by -11/9 and add to r3; divide r2 by 9

x ___ ___ = -4
___ ___ + z = 1
___ + y ___ = 2