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1$\begingroup$ Please post you Mathematica code. and specify where you found trouble. $\endgroup$ – Mirko Aveta Nov 24 '16 at 22:51
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$\begingroup$ I'm sorry, wrong section. $\endgroup$ – Jonathan Nov 24 '16 at 23:56
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$\begingroup$ This is not a Mathematica question. $\endgroup$ – J. M.'s ennui♦ Feb 25 at 6:26
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Rewriting in matrix form, you can solve for x (and for y and z if desired) as
Solve[{{a1, b1, c1}, {a2, b2, c2}, {a3, b3, c3}}.{x, y, z}
== {d1, d2, d3}, {x, y, z}]