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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{-201}{5}\\x=3y+\frac{-63}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-387}{14}\\-x=y+\frac{129}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-6y=2\\4x-y=12\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{117}{2}\\x+4y=12\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-388}{5}-6x\\x+y=\frac{-194}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{17}{3}+x\\3x-3y=\frac{-11}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-227}{51}\\-x=5y+\frac{919}{306}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{473}{65}+4x\\-4x-y=\frac{643}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-172}{171}\\-2x=y+\frac{-352}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{1038}{119}\\-x=-y+\frac{58}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{75}{77}+x\\-6x-2y=\frac{318}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-699}{140}\\3x+y=\frac{-47}{140}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{-201}{5}\\x=3y+\frac{-63}{5}\end{matrix}\right.\qquad V=\{(-15,\frac{-4}{5})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-387}{14}\\-x=y+\frac{129}{14}\end{matrix}\right.\qquad V=\{(-9,\frac{-3}{14})\}\)
3. \(\left\{\begin{matrix}-4x-6y=2\\4x-y=12\end{matrix}\right.\qquad V=\{(\frac{5}{2},-2)\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{117}{2}\\x+4y=12\end{matrix}\right.\qquad V=\{(10,\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-388}{5}-6x\\x+y=\frac{-194}{15}\end{matrix}\right.\qquad V=\{(-12,\frac{-14}{15})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{17}{3}+x\\3x-3y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-10}{9})\}\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-227}{51}\\-x=5y+\frac{919}{306}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-7}{18})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{473}{65}+4x\\-4x-y=\frac{643}{65}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{17}{13})\}\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-172}{171}\\-2x=y+\frac{-352}{171}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-20}{19})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{1038}{119}\\-x=-y+\frac{58}{119}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-4}{7})\}\)
11. \(\left\{\begin{matrix}-y=\frac{75}{77}+x\\-6x-2y=\frac{318}{77}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-699}{140}\\3x+y=\frac{-47}{140}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{19}{20})\}\)