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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{17}{14}+3x\\-x+y=\frac{-5}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-35}{104}\\4x-y=\frac{-385}{104}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-1}{3}\\-4x=-6y+\frac{-14}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{130}{9}+5x\\5x-y=\frac{155}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-443}{30}\\-x+2y=\frac{137}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-2y=\frac{13}{10}\\6x=y+\frac{7}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{164}{11}-3x\\-x+3y=\frac{-158}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=-8\\6x=y+-11\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-259}{90}-5x\\-4x+y=\frac{391}{180}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{889}{176}+5x\\-4x+3y=\frac{213}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{131}{24}-5x\\-x+5y=\frac{235}{72}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{-329}{90}\\-5x-4y=\frac{589}{90}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{17}{14}+3x\\-x+y=\frac{-5}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-35}{104}\\4x-y=\frac{-385}{104}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{5}{8})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-1}{3}\\-4x=-6y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-1)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{130}{9}+5x\\5x-y=\frac{155}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-15}{4})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-443}{30}\\-x+2y=\frac{137}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{7}{12})\}\)
6. \(\left\{\begin{matrix}2x-2y=\frac{13}{10}\\6x=y+\frac{7}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{164}{11}-3x\\-x+3y=\frac{-158}{33}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{2}{11})\}\)
8. \(\left\{\begin{matrix}6x-4y=-8\\6x=y+-11\end{matrix}\right.\qquad V=\{(-2,-1)\}\)
9. \(\left\{\begin{matrix}2y=\frac{-259}{90}-5x\\-4x+y=\frac{391}{180}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-1}{20})\}\)
10. \(\left\{\begin{matrix}y=\frac{889}{176}+5x\\-4x+3y=\frac{213}{44}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{4}{11})\}\)
11. \(\left\{\begin{matrix}3y=\frac{131}{24}-5x\\-x+5y=\frac{235}{72}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{7}{9})\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{-329}{90}\\-5x-4y=\frac{589}{90}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-11}{15})\}\)