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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-3y=\frac{-82}{3}\\-x+6y=\frac{359}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=\frac{14}{5}\\-x-2y=\frac{38}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{7}{4}-x\\-6x+4y=\frac{-4}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-197}{14}+3x\\2x+4y=\frac{47}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+3y=6\\-x=-5y+\frac{2}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-5y=\frac{-53}{6}\\-2x+6y=11\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-47}{3}\\3x+y=9\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{7}{3}+5x\\4x-y=\frac{-17}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-700}{247}\\-x=-y+\frac{142}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+3y=\frac{-57}{10}\\-4x-y=\frac{49}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-405}{133}\\x-2y=\frac{276}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-287}{88}\\2x=4y+\frac{-433}{88}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-3y=\frac{-82}{3}\\-x+6y=\frac{359}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},7)\}\)
2. \(\left\{\begin{matrix}6x-6y=\frac{14}{5}\\-x-2y=\frac{38}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},-1)\}\)
3. \(\left\{\begin{matrix}3y=\frac{7}{4}-x\\-6x+4y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{5}{12})\}\)
4. \(\left\{\begin{matrix}y=\frac{-197}{14}+3x\\2x+4y=\frac{47}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-4}{7})\}\)
5. \(\left\{\begin{matrix}-2x+3y=6\\-x=-5y+\frac{2}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}x-5y=\frac{-53}{6}\\-2x+6y=11\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-47}{3}\\3x+y=9\end{matrix}\right.\qquad V=\{(\frac{8}{3},1)\}\)
8. \(\left\{\begin{matrix}2y=\frac{7}{3}+5x\\4x-y=\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-700}{247}\\-x=-y+\frac{142}{247}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{2}{13})\}\)
10. \(\left\{\begin{matrix}3x+3y=\frac{-57}{10}\\-4x-y=\frac{49}{10}\end{matrix}\right.\qquad V=\{(-1,\frac{-9}{10})\}\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-405}{133}\\x-2y=\frac{276}{133}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-17}{19})\}\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-287}{88}\\2x=4y+\frac{-433}{88}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{18}{11})\}\)