SOLUTION: Need help solving system with three variables x + y + z = 0 2x+ 3y + 2z = -3 -x - 2y - z = 1

Algebra ->  Linear-equations -> SOLUTION: Need help solving system with three variables x + y + z = 0 2x+ 3y + 2z = -3 -x - 2y - z = 1       Log On


   



Question 1069421: Need help solving system with three variables
x + y + z = 0
2x+ 3y + 2z = -3
-x - 2y - z = 1

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Need help solving system highlight%28cross%28with%29%29 in three variables
x + y + z = 0
2x+ 3y + 2z = -3
-x - 2y - z = 1
~~~~~~~~~~~~~~~~~~~~~~~

 x +  y +  z =  0     (1)  
2x + 3y + 2z = -3     (2)
-x - 2y -  z =  1     (3)


Add equations (1) and (3). You will get

0*x - y  + 0*z = 1,     or simply   -y = 1,  which gives you  y = -1.

So, one unknown is just found: y = -1.

Substitute the found value of y into equation (1) and (2). You will get the system of 2 equations in 2 unknowns.


I hope you can easily solve it, since it is much easier than 3x3-system.