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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+y=\frac{-121}{5}\\6x-3y=\frac{-222}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-4y=\frac{199}{48}\\-x=-y+\frac{-49}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-17}{4}\\3x=-6y+\frac{9}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{727}{170}\\-3x=-y+\frac{-893}{340}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=54-6x\\-x-6y=19\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-6y=\frac{-314}{65}\\-5x=4y+\frac{-556}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-89}{8}+6x\\-4x-6y=\frac{-307}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-27}{8}+2x\\-3x-y=\frac{23}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-y=\frac{293}{52}\\4x+3y=\frac{-329}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+4y=5\\6x+y=\frac{25}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=\frac{-8}{3}\\2x+6y=\frac{-122}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{439}{60}+4x\\-x-5y=\frac{377}{120}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+y=\frac{-121}{5}\\6x-3y=\frac{-222}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{9}{5})\}\)
2. \(\left\{\begin{matrix}3x-4y=\frac{199}{48}\\-x=-y+\frac{-49}{48}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{-13}{12})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-17}{4}\\3x=-6y+\frac{9}{2}\end{matrix}\right.\qquad V=\{(2,\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{727}{170}\\-3x=-y+\frac{-893}{340}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}-6y=54-6x\\-x-6y=19\end{matrix}\right.\qquad V=\{(5,-4)\}\)
6. \(\left\{\begin{matrix}-x-6y=\frac{-314}{65}\\-5x=4y+\frac{-556}{65}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{3}{5})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-89}{8}+6x\\-4x-6y=\frac{-307}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},13)\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-27}{8}+2x\\-3x-y=\frac{23}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},1)\}\)
9. \(\left\{\begin{matrix}-2x-y=\frac{293}{52}\\4x+3y=\frac{-329}{26}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-18}{13})\}\)
10. \(\left\{\begin{matrix}4x+4y=5\\6x+y=\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{13}{12})\}\)
11. \(\left\{\begin{matrix}6x-y=\frac{-8}{3}\\2x+6y=\frac{-122}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},-2)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{439}{60}+4x\\-x-5y=\frac{377}{120}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-3}{8})\}\)