Solve this equation system:
$$ \left\{ \begin{array}{c} x^2+2y+xy\equiv 3\pmod 7\\ x+2y^2+x^2y\equiv 4\pmod 7 \\ \end{array} \right. $$
I tried to turn them to linear equation to use the Chinese reminder theorem but I can't.
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Sign up to join this communitySolve this equation system:
$$ \left\{ \begin{array}{c} x^2+2y+xy\equiv 3\pmod 7\\ x+2y^2+x^2y\equiv 4\pmod 7 \\ \end{array} \right. $$
I tried to turn them to linear equation to use the Chinese reminder theorem but I can't.
Hint : Note that when you add the equations together, you get \begin{eqnarray*} (1+y)(2y+x+x^2)\equiv 0\pmod 7.\\ \end{eqnarray*} Should be a doddle from here ?