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Need help solving system
in three variables
x + y + z = 0
2x+ 3y + 2z = -3
-x - 2y - z = 1
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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.