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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{3}\\2x=-y+\frac{22}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{49}{18}\\-6x+5y=\frac{-137}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=61-4x\\6x+y=97\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{13}{7}\\-x=y+\frac{5}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{67}{6}\\-4x=-6y+\frac{-26}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{68}{9}+5x\\4x-y=\frac{-218}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-199}{17}\\2x=y+\frac{103}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{137}{63}+6x\\-5x+3y=\frac{208}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-y=\frac{-37}{7}\\5x=6y+\frac{-117}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{103}{12}\\-6x=3y+\frac{65}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-529}{39}\\3x-y=\frac{-218}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-107}{14}+3x\\-4x-2y=\frac{-344}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{3}\\2x=-y+\frac{22}{9}\end{matrix}\right.\qquad V=\{(1,\frac{4}{9})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{49}{18}\\-6x+5y=\frac{-137}{18}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-13}{18})\}\)
3. \(\left\{\begin{matrix}-3y=61-4x\\6x+y=97\end{matrix}\right.\qquad V=\{(16,1)\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{13}{7}\\-x=y+\frac{5}{14}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{11}{14})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{67}{6}\\-4x=-6y+\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},-2)\}\)
6. \(\left\{\begin{matrix}5y=\frac{68}{9}+5x\\4x-y=\frac{-218}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-199}{17}\\2x=y+\frac{103}{17}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{17})\}\)
8. \(\left\{\begin{matrix}-y=\frac{137}{63}+6x\\-5x+3y=\frac{208}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{19}{9})\}\)
9. \(\left\{\begin{matrix}2x-y=\frac{-37}{7}\\5x=6y+\frac{-117}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},1)\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{103}{12}\\-6x=3y+\frac{65}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-529}{39}\\3x-y=\frac{-218}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}y=\frac{-107}{14}+3x\\-4x-2y=\frac{-344}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{13}{7})\}\)