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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-2}{15}-x\\3x-4y=\frac{-1}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+3y=11\\2x-5y=-22\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-56}{65}\\-5x=y+\frac{-22}{65}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{125}{12}-5x\\4x-6y=\frac{191}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-9}{10}\\x+5y=\frac{31}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-222}{77}+5x\\-x+2y=\frac{48}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-67}{4}+5x\\x+4y=\frac{-101}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+4y=\frac{235}{21}\\-x=-5y+\frac{40}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{691}{65}-2x\\x-5y=\frac{-257}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-205}{56}\\-x=6y+\frac{-491}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-9}{4}\\-x=-3y+\frac{37}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{31}{14}\\-x=-y+\frac{-1}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-2}{15}-x\\3x-4y=\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}x+3y=11\\2x-5y=-22\end{matrix}\right.\qquad V=\{(-1,4)\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-56}{65}\\-5x=y+\frac{-22}{65}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}y=\frac{125}{12}-5x\\4x-6y=\frac{191}{10}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-19}{12})\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-9}{10}\\x+5y=\frac{31}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-222}{77}+5x\\-x+2y=\frac{48}{77}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{6}{7})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-67}{4}+5x\\x+4y=\frac{-101}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-13}{2})\}\)
8. \(\left\{\begin{matrix}5x+4y=\frac{235}{21}\\-x=-5y+\frac{40}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{5}{7})\}\)
9. \(\left\{\begin{matrix}6y=\frac{691}{65}-2x\\x-5y=\frac{-257}{26}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{19}{10})\}\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-205}{56}\\-x=6y+\frac{-491}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{19}{14})\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-9}{4}\\-x=-3y+\frac{37}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{4},4)\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{31}{14}\\-x=-y+\frac{-1}{14}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{5}{2})\}\)