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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+4y=\frac{83}{5}\\-x=y+\frac{13}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{1376}{143}\\-x=-y+\frac{-9}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{29}{4}\\-x-2y=\frac{-31}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{-209}{72}\\x+6y=\frac{437}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{111}{16}+3x\\6x-y=\frac{29}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-102}{91}-6x\\3x-y=\frac{5}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{63}{8}-x\\-5x-4y=-45\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-140}{9}-5x\\-x-6y=\frac{-260}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-25}{7}\\2x=6y+\frac{82}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{170}{19}\\6x+y=\frac{-85}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=\frac{-27}{4}\\-4x=-2y+\frac{11}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{103}{11}-5x\\-6x+y=\frac{-74}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+4y=\frac{83}{5}\\-x=y+\frac{13}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{1376}{143}\\-x=-y+\frac{-9}{143}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-10}{11})\}\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{29}{4}\\-x-2y=\frac{-31}{24}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{-209}{72}\\x+6y=\frac{437}{36}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{19}{8})\}\)
5. \(\left\{\begin{matrix}3y=\frac{111}{16}+3x\\6x-y=\frac{29}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-102}{91}-6x\\3x-y=\frac{5}{91}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{16}{13})\}\)
7. \(\left\{\begin{matrix}-y=\frac{63}{8}-x\\-5x-4y=-45\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{5}{8})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-140}{9}-5x\\-x-6y=\frac{-260}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},5)\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-25}{7}\\2x=6y+\frac{82}{7}\end{matrix}\right.\qquad V=\{(5,\frac{-2}{7})\}\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{170}{19}\\6x+y=\frac{-85}{19}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{17}{19})\}\)
11. \(\left\{\begin{matrix}6x-y=\frac{-27}{4}\\-4x=-2y+\frac{11}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{103}{11}-5x\\-6x+y=\frac{-74}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-8}{11})\}\)