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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-42}{65}\\-6x+2y=\frac{396}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=\frac{56}{5}\\2x=-y+\frac{-7}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-3}{2}+3x\\2x-y=-1\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{14}{51}\\-x+y=\frac{7}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-553}{38}+6x\\-6x-y=\frac{-523}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-2y=-41\\x-y=-10\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-5y=\frac{-74}{3}\\6x=-y+\frac{-154}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-5}{3}+4x\\-4x-y=\frac{29}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{299}{153}+4x\\x-4y=\frac{-32}{153}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{28}{9}\\x=-y+\frac{-16}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+2y=\frac{-74}{7}\\x=3y+\frac{6}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-287}{6}+3x\\-x+y=\frac{-103}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-42}{65}\\-6x+2y=\frac{396}{65}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}6x-4y=\frac{56}{5}\\2x=-y+\frac{-7}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-9}{5})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-3}{2}+3x\\2x-y=-1\end{matrix}\right.\qquad V=\{(\frac{-3}{2},-2)\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{14}{51}\\-x+y=\frac{7}{153}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-7}{9})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-553}{38}+6x\\-6x-y=\frac{-523}{38}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{5}{19})\}\)
6. \(\left\{\begin{matrix}5x-2y=-41\\x-y=-10\end{matrix}\right.\qquad V=\{(-7,3)\}\)
7. \(\left\{\begin{matrix}6x-5y=\frac{-74}{3}\\6x=-y+\frac{-154}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{12}{5})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-5}{3}+4x\\-4x-y=\frac{29}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{299}{153}+4x\\x-4y=\frac{-32}{153}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-1}{17})\}\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{28}{9}\\x=-y+\frac{-16}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-4}{9})\}\)
11. \(\left\{\begin{matrix}4x+2y=\frac{-74}{7}\\x=3y+\frac{6}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},-1)\}\)
12. \(\left\{\begin{matrix}5y=\frac{-287}{6}+3x\\-x+y=\frac{-103}{6}\end{matrix}\right.\qquad V=\{(19,\frac{11}{6})\}\)