SOLUTION: Solve the following system of equations for the unknown variables. 3x+3y=3 -3x-2z=-11 Y+z=-1

Algebra ->  Expressions-with-variables -> SOLUTION: Solve the following system of equations for the unknown variables. 3x+3y=3 -3x-2z=-11 Y+z=-1      Log On


   

Question 1028418: Solve the following system of equations for the unknown variables.
3x+3y=3
-3x-2z=-11
Y+z=-1
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From this system
3x+3y=3
-3x-2z=-11
y+z=-1
let us add the first two equations and get
3y - 2z = -8
Now multiply the last one by two and add it to this one...
3y - 2z = -8
+(2y + 2z = -2)
-----------------
5y = -10
y = -2
Subbing this into the third one gives
-2 + z = -1
z = 1
Subbing this into the second one gives
-3x - 2(1) = -11
-3x = -9
x = 3
So your solution is
(3, -2, 1)