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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=\frac{32}{3}\\-x=y+\frac{-13}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{-21}{4}\\-x=-5y+\frac{-21}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-y=\frac{2}{3}\\-6x-6y=-26\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-y=\frac{83}{40}\\-3x=-5y+\frac{-469}{40}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{14}{3}\\x=-5y+\frac{41}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-1107}{209}\\-x-y=\frac{-239}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{-57}{4}\\-x-6y=\frac{-67}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-13}{2}+6x\\-x-6y=\frac{-5}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-6y=\frac{20}{13}\\x+y=\frac{40}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+y=\frac{-31}{15}\\3x=5y+5\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-52}{9}-2x\\-x+3y=\frac{65}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-2y=\frac{161}{65}\\6x=6y+\frac{498}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=\frac{32}{3}\\-x=y+\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{14}{3})\}\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{-21}{4}\\-x=-5y+\frac{-21}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
3. \(\left\{\begin{matrix}4x-y=\frac{2}{3}\\-6x-6y=-26\end{matrix}\right.\qquad V=\{(1,\frac{10}{3})\}\)
4. \(\left\{\begin{matrix}6x-y=\frac{83}{40}\\-3x=-5y+\frac{-469}{40}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-19}{8})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{14}{3}\\x=-5y+\frac{41}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-1107}{209}\\-x-y=\frac{-239}{209}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{12}{11})\}\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{-57}{4}\\-x-6y=\frac{-67}{8}\end{matrix}\right.\qquad V=\{(2,\frac{17}{16})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-13}{2}+6x\\-x-6y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{1}{12})\}\)
9. \(\left\{\begin{matrix}4x-6y=\frac{20}{13}\\x+y=\frac{40}{13}\end{matrix}\right.\qquad V=\{(2,\frac{14}{13})\}\)
10. \(\left\{\begin{matrix}-x+y=\frac{-31}{15}\\3x=5y+5\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{3}{5})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-52}{9}-2x\\-x+3y=\frac{65}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{13}{9})\}\)
12. \(\left\{\begin{matrix}x-2y=\frac{161}{65}\\6x=6y+\frac{498}{65}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-6}{5})\}\)