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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{179}{8}\\-x=3y+\frac{83}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{41}{14}\\4x+5y=\frac{-1}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{50}{19}-3x\\2x+y=\frac{58}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{174}{5}-2x\\-6x+y=\frac{-508}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=-10-6x\\-6x-y=2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+y=\frac{-29}{5}\\4x+4y=\frac{3}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-37}{18}\\3x=-y+\frac{-17}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-13}{5}\\x=-4y+\frac{-394}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{783}{85}\\-x-y=\frac{161}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-115}{4}-5x\\4x-y=7\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-107}{5}-2x\\-x+2y=\frac{-229}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{30}{7}-4x\\-x+2y=\frac{52}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{179}{8}\\-x=3y+\frac{83}{8}\end{matrix}\right.\qquad V=\{(-4,\frac{-17}{8})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{41}{14}\\4x+5y=\frac{-1}{14}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{14})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{50}{19}-3x\\2x+y=\frac{58}{57}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-6}{19})\}\)
4. \(\left\{\begin{matrix}2y=\frac{174}{5}-2x\\-6x+y=\frac{-508}{5}\end{matrix}\right.\qquad V=\{(17,\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}3y=-10-6x\\-6x-y=2\end{matrix}\right.\qquad V=\{(\frac{1}{3},-4)\}\)
6. \(\left\{\begin{matrix}-6x+y=\frac{-29}{5}\\4x+4y=\frac{3}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-37}{18}\\3x=-y+\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-1}{12})\}\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-13}{5}\\x=-4y+\frac{-394}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-17}{3})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{783}{85}\\-x-y=\frac{161}{85}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{12}{17})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-115}{4}-5x\\4x-y=7\end{matrix}\right.\qquad V=\{(\frac{1}{4},-6)\}\)
11. \(\left\{\begin{matrix}6y=\frac{-107}{5}-2x\\-x+2y=\frac{-229}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-11}{3})\}\)
12. \(\left\{\begin{matrix}6y=\frac{30}{7}-4x\\-x+2y=\frac{52}{7}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{17}{7})\}\)