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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

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