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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=13\\6x=y+\frac{-21}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{11}{40}\\-3x+5y=\frac{-329}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{327}{5}+3x\\-x-6y=\frac{-291}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-102}{65}-5x\\-3x-y=\frac{142}{195}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{49}{15}-2x\\3x+y=\frac{-77}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+2y=\frac{-144}{77}\\2x-6y=\frac{-233}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-39}{4}\\4x-y=3\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-67}{5}-4x\\2x+y=\frac{-209}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{150}{17}\\-4x=5y+\frac{-462}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-75}{4}\\-5x-y=\frac{53}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-10}{3}\\-x=5y+\frac{50}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{44}{17}+4x\\-x-5y=\frac{37}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=13\\6x=y+\frac{-21}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{11}{40}\\-3x+5y=\frac{-329}{40}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-17}{8})\}\)
3. \(\left\{\begin{matrix}6y=\frac{327}{5}+3x\\-x-6y=\frac{-291}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},10)\}\)
4. \(\left\{\begin{matrix}3y=\frac{-102}{65}-5x\\-3x-y=\frac{142}{195}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-4}{15})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{49}{15}-2x\\3x+y=\frac{-77}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-16}{15})\}\)
6. \(\left\{\begin{matrix}x+2y=\frac{-144}{77}\\2x-6y=\frac{-233}{77}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-1}{14})\}\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-39}{4}\\4x-y=3\end{matrix}\right.\qquad V=\{(\frac{5}{4},2)\}\)
8. \(\left\{\begin{matrix}3y=\frac{-67}{5}-4x\\2x+y=\frac{-209}{30}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{8}{15})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{150}{17}\\-4x=5y+\frac{-462}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},6)\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-75}{4}\\-5x-y=\frac{53}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},3)\}\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-10}{3}\\-x=5y+\frac{50}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},-1)\}\)
12. \(\left\{\begin{matrix}6y=\frac{44}{17}+4x\\-x-5y=\frac{37}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{17})\}\)