SOLUTION: please help me solve this system of equations: {{{-3x-2y+3z=-1}}} {{{2x+5y-3z=-6}}} {{{4x+3y+3z=22}}} I tried this several different times by hand, but I can't get it. Using my

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me solve this system of equations: {{{-3x-2y+3z=-1}}} {{{2x+5y-3z=-6}}} {{{4x+3y+3z=22}}} I tried this several different times by hand, but I can't get it. Using my       Log On


   



Question 592742: please help me solve this system of equations: -3x-2y%2B3z=-1 2x%2B5y-3z=-6 4x%2B3y%2B3z=22
I tried this several different times by hand, but I can't get it. Using my graphing calculator, which also does equations, I received the following answers: x= 4.192307692, y= -1.269230769, z=3.012820513
However, I am not a calculator and I can't understand how the answer was reached. Please help me.
(As a side note, I had to transfer the answers to decimals - they were in the fractions: X= four and five twenty-sixths, Y= neg one and seven twenty=sixths, and z= three and one seventy-eighth.)
any help you can give, preferably with your work showed, would be most definitely appreciated. Thank you and God bless you for your time!

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve this system of equations: -3x-2y%2B3z=-1 2x%2B5y-3z=-6 4x%2B3y%2B3z=22
I tried this several different times by hand, but I can't get it. Using my graphing calculator, which also does equations, I received the following answers: x= 4.192307692, y= -1.269230769, z=3.012820513
However, I am not a calculator and I can't understand how the answer was reached. Please help me.
(As a side note, I had to transfer the answers to decimals - they were in the fractions: X= four and five twenty-sixths, Y= neg one and seven twenty=sixths, and z= three and one seventy-eighth.)
any help you can give, preferably with your work showed, would be most definitely appreciated. Thank you and God bless you for your
time!
I did it on my TI-84 and got simply (x,y,z) = (4,-1,3).  Maybe you keyed
in something wrong.  If you need help ask me in the thank-you note.  I'll
email you back.  No charge. I do this for kicks.


The answer I got is correct. Here's the check:

-3x-2y%2B3z=-1
-3%284%29-2%28-1%29%2B3%283%29=-1
-12%2B2%2B9=-1
-1+=+-1 


2x%2B5y-3z=-6 
2%284%29%2B5%28-1%29-3%283%29=-6
8-5-9=-6
-6=-6

4x%2B3y%2B3z=22
4%284%29%2B3%28-1%29%2B3%283%29=22
16-3%2B9=22
22=22

Edwin