Răspuns:
3 soluții.
Explicație pas cu pas:
[tex]x\in \mathbb{Z}_9\\ \\\hat{3}x-\hat{3}=6 \\\hat{3}x= \hat{9}\\ \hat{3}x = \hat{0}\\ \\\Rightarrow \boxed{x \in \{\hat{0}, \hat{3},\hat{6}\}}\\ \\\text{Deoarece }\hat{3}\cdot \hat{0} = \hat{0},\quad \hat{3}\cdot \hat{3} = \hat{9} = \hat{0},\quad \hat{3}\cdot \hat{6} = \widehat{18} = \hat{9}\cdot \hat{2} = \hat{0}[/tex]
