SOLUTION: Please help me here, I am lost! Here is the problem: solve the systems of equations without using matrix capabilities of a calculator. I need to show how to work this through: 3x+

Algebra ->  Linear-equations -> SOLUTION: Please help me here, I am lost! Here is the problem: solve the systems of equations without using matrix capabilities of a calculator. I need to show how to work this through: 3x+      Log On


   



Question 290383: Please help me here, I am lost! Here is the problem: solve the systems of equations without using matrix capabilities of a calculator. I need to show how to work this through:
3x+y-2z=5
5x+2y+z=6
-7x-3y-4z=-7
Thanks for any help available! It is appreciated!

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3x+y-2z=5
5x+2y+z=6 multiply this equation by 2 & add it to equation #1.
-7x-3y-4z=-7
10x+4y+2z=12
3x+y-2z=5
---------------
13x+5y=17
multiply the first equation by -2 & add to equation #3.
-6x-3y+4z=-10
-7x-3y-4z=-7
----------------
-13x-6y=-17 now add this equation to the 13x+5y=17 equation.
13x+5y=17
--------------
y=0 ans.
13x+5*0=17
13x=17
x=17/13 ans.
5*17/13+2*0+z=6
85/13+z=6
z=6-85/13
z=78/13-85/13
z=-7/13 ans.