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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{474}{221}\\-2x=-4y+\frac{882}{221}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{29}{3}\\-4x-y=\frac{-199}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+y=\frac{72}{5}\\-2x-4y=\frac{-254}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{-137}{40}\\6x+2y=\frac{-67}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{69}{20}\\-4x-y=\frac{-51}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-17}{5}\\x+y=\frac{-34}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=-57+3x\\x-2y=\frac{37}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+y=\frac{199}{36}\\-4x+4y=\frac{-29}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=23\\-2x+y=\frac{-31}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{97}{35}\\-2x=y+\frac{163}{210}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+y=\frac{-378}{323}\\2x=5y+\frac{-1302}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{169}{209}\\2x+5y=\frac{173}{209}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{474}{221}\\-2x=-4y+\frac{882}{221}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{8}{13})\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{29}{3}\\-4x-y=\frac{-199}{30}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{11}{6})\}\)
3. \(\left\{\begin{matrix}x+y=\frac{72}{5}\\-2x-4y=\frac{-254}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{5},11)\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{-137}{40}\\6x+2y=\frac{-67}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{19}{20})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{69}{20}\\-4x-y=\frac{-51}{20}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{1}{20})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-17}{5}\\x+y=\frac{-34}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-17}{5})\}\)
7. \(\left\{\begin{matrix}4y=-57+3x\\x-2y=\frac{37}{2}\end{matrix}\right.\qquad V=\{(20,\frac{3}{4})\}\)
8. \(\left\{\begin{matrix}3x+y=\frac{199}{36}\\-4x+4y=\frac{-29}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{7}{9})\}\)
9. \(\left\{\begin{matrix}6x+2y=23\\-2x+y=\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{97}{35}\\-2x=y+\frac{163}{210}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-9}{14})\}\)
11. \(\left\{\begin{matrix}-6x+y=\frac{-378}{323}\\2x=5y+\frac{-1302}{323}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{18}{19})\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{169}{209}\\2x+5y=\frac{173}{209}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{-1}{19})\}\)