TR-MO-R1 2019 Problem 27

$x = y^2 + y + 1$ $5y = 2 - x - x^2$

denklem sistemini sağlayan kaç $(x, y)$ gerçel sayı ikilisi vardır?

a) $1$ b) $2$ c) $3$ d) $4$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2019 official paper, page 14. Quoted with source.

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