How to solve simultaneous equation with identity
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I have a set of simultaneous equations which I can't figure out how to solve properly. I have to do it simultaneously, but also follow an identity as x^2 + y^2 + z^2 =1 to yield any solution other than 0 for each variable. I've tried to use symbolic functions but that I can't figure out. How can I set up a script for finding the answers to this type of system of equations?
[A1x + A2y + A3z;
B1x + B2y + B3z;
C1x + C2y + C3z;
x^2 + y^2 + z^2]
=
[0;
0;
0;
1]
I'm not good at formatting.
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