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# sigh

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96
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Let the ordered triples $$(x,y,z)$$ of complex numbers that satisfy

\begin{align*} x + yz &= 7, \\ y + xz &= 10, \\ z + xy &= 10. \end{align*}

be $$(x_1,y_1,z_1), (x_2,y_2,z_2), \dots, (x_n,y_n,z_n).$$ Find $$x_1 + x_2 + \dots + x_n.$$

Sep 14, 2022

#1
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nevermind i got it! the answer is 7 for anyone interested :D

Sep 14, 2022
#2
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I got 9.

Sep 15, 2022