SOLUTION: Please solve the systems of equations for all variables using a matrix. {{{x+2z=7}}} {{{3x+y=5}}} {{{2y-3z=-5}}} My Final answer Was X=5,y=1,z=-5 but when mutiplied it does

Algebra ->  Matrices-and-determiminant -> SOLUTION: Please solve the systems of equations for all variables using a matrix. {{{x+2z=7}}} {{{3x+y=5}}} {{{2y-3z=-5}}} My Final answer Was X=5,y=1,z=-5 but when mutiplied it does       Log On


   

Question 146083: Please solve the systems of equations for all variables using a matrix.
x%2B2z=7
3x%2By=5
2y-3z=-5
My Final answer Was X=5,y=1,z=-5 but when mutiplied it does not give me the numbers above. So I started working it again and got loss on the 4th step. Thanks in advance
I did this 1 2 0=7
0 3 1=5
2 0-3=-5,
r1 x-2+ r3
1 2 0=7
0 3 1=5
0-4-3=-19
r2 Divide by 3
1 2 0=7
0 1 3=0.6
0-4-3=-19
r3 divide by 4
1 2 0=7
0 1 3=0.6
0 0 1=-15
then i loss it and don't know which way to go
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please solve the systems of equations for all variables using a matrix.
x%2B2z=7
3x%2By=5
2y-3z=-5
------------------------
1 2 0=7
0 3 1=5
2 0-3=-5,
-------------
Comment:
1st equation should be 1 0 2
2nd equation should be 3 1 0
3rd equation should be 0 2 -3
---------------------------
Final answer should be
x = 1
y = 2
z = 3
-----------
Cheers,
Stan H.
r1 x-2+ r3
1 2 0=7
0 3 1=5
0-4-3=-19
r2 Divide by 3
1 2 0=7
0 1 3=0.6
0-4-3=-19
r3 divide by 4
1 2 0=7
0 1 3=0.6
0 0 1=-15