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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{-1099}{66}\\-x+y=\frac{239}{66}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{336}{17}\\-x=3y+\frac{244}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=-4\\-x+5y=-8\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=\frac{23}{2}\\-2x=-y+\frac{-1}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-3y=\frac{272}{35}\\-6x=-y+\frac{-1052}{105}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{259}{40}-x\\4x-4y=\frac{-49}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{21}{17}-5x\\x+4y=\frac{79}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{246}{19}\\x=-6y+\frac{-329}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{25}{8}\\6x=-6y+\frac{21}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{1187}{143}-5x\\4x-y=\frac{-135}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{-1011}{70}\\x-y=\frac{337}{140}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-58}{119}+4x\\-x+3y=\frac{-550}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{-1099}{66}\\-x+y=\frac{239}{66}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{13}{6})\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{336}{17}\\-x=3y+\frac{244}{17}\end{matrix}\right.\qquad V=\{(-11,\frac{-19}{17})\}\)
3. \(\left\{\begin{matrix}-2x+6y=-4\\-x+5y=-8\end{matrix}\right.\qquad V=\{(-7,-3)\}\)
4. \(\left\{\begin{matrix}3x+3y=\frac{23}{2}\\-2x=-y+\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}5x-3y=\frac{272}{35}\\-6x=-y+\frac{-1052}{105}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{4}{15})\}\)
6. \(\left\{\begin{matrix}6y=\frac{259}{40}-x\\4x-4y=\frac{-49}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{11}{10})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{21}{17}-5x\\x+4y=\frac{79}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},1)\}\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{246}{19}\\x=-6y+\frac{-329}{19}\end{matrix}\right.\qquad V=\{(\frac{13}{19},-3)\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{25}{8}\\6x=-6y+\frac{21}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}6y=\frac{1187}{143}-5x\\4x-y=\frac{-135}{143}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{17}{13})\}\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{-1011}{70}\\x-y=\frac{337}{140}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-20}{7})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-58}{119}+4x\\-x+3y=\frac{-550}{119}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-9}{7})\}\)