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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{31}{204}\\6x=-3y+\frac{-11}{34}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=99+4x\\-5x+y=24\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-65}{12}+x\\-2x-5y=\frac{-67}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{61}{12}\\x-5y=\frac{-43}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{-847}{30}\\-5x+y=\frac{-1423}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{83}{15}-3x\\-x-2y=\frac{106}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{153}{7}+3x\\-4x+y=\frac{1081}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+y=\frac{-13}{15}\\-3x=2y+\frac{7}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-89}{66}+x\\4x-2y=\frac{-251}{33}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+4y=\frac{163}{6}\\x+6y=\frac{29}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-11}{3}\\-3x-4y=\frac{47}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{22}{5}-6x\\x+6y=\frac{116}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{31}{204}\\6x=-3y+\frac{-11}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{1}{17})\}\)
2. \(\left\{\begin{matrix}5y=99+4x\\-5x+y=24\end{matrix}\right.\qquad V=\{(-1,19)\}\)
3. \(\left\{\begin{matrix}2y=\frac{-65}{12}+x\\-2x-5y=\frac{-67}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-7}{12})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{61}{12}\\x-5y=\frac{-43}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{12},1)\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{-847}{30}\\-5x+y=\frac{-1423}{30}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{1}{15})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{83}{15}-3x\\-x-2y=\frac{106}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-7}{5})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{153}{7}+3x\\-4x+y=\frac{1081}{42}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-13}{14})\}\)
8. \(\left\{\begin{matrix}2x+y=\frac{-13}{15}\\-3x=2y+\frac{7}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-1}{5})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-89}{66}+x\\4x-2y=\frac{-251}{33}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{13}{6})\}\)
10. \(\left\{\begin{matrix}3x+4y=\frac{163}{6}\\x+6y=\frac{29}{2}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{7}{6})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-11}{3}\\-3x-4y=\frac{47}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}6y=\frac{22}{5}-6x\\x+6y=\frac{116}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{7}{5})\}\)