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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=61+3x\\x+3y=-16\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+4y=\frac{110}{39}\\-x+6y=\frac{-35}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=-1-4x\\-2x-6y=-16\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{138}{65}+2x\\-x+4y=\frac{-451}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-761}{119}\\4x-y=\frac{-295}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-347}{57}\\5x=-3y+\frac{-1247}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-96}{11}+2x\\2x+y=\frac{41}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{23}{5}-x\\5x-4y=\frac{82}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-19}{11}-2x\\-4x-y=\frac{43}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{121}{51}\\x=2y+\frac{-257}{255}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-5y=\frac{118}{15}\\-4x=-6y+\frac{-16}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-389}{15}\\x=-4y+\frac{-109}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=61+3x\\x+3y=-16\end{matrix}\right.\qquad V=\{(-19,1)\}\)
2. \(\left\{\begin{matrix}6x+4y=\frac{110}{39}\\-x+6y=\frac{-35}{13}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}y=-1-4x\\-2x-6y=-16\end{matrix}\right.\qquad V=\{(-1,3)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{138}{65}+2x\\-x+4y=\frac{-451}{65}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-8}{5})\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-761}{119}\\4x-y=\frac{-295}{119}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{13}{17})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-347}{57}\\5x=-3y+\frac{-1247}{171}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-11}{19})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-96}{11}+2x\\2x+y=\frac{41}{11}\end{matrix}\right.\qquad V=\{(\frac{15}{11},1)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{23}{5}-x\\5x-4y=\frac{82}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-19}{11}-2x\\-4x-y=\frac{43}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{11})\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{121}{51}\\x=2y+\frac{-257}{255}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{8}{15})\}\)
11. \(\left\{\begin{matrix}-x-5y=\frac{118}{15}\\-4x=-6y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-4}{3})\}\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-389}{15}\\x=-4y+\frac{-109}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-13}{20})\}\)