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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-14}{13}\\3x=-6y+\frac{51}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+2y=\frac{47}{3}\\3x=3y+-49\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-183}{76}\\-3x=y+\frac{3}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-6y=40\\-x-3y=10\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{13}{22}\\-x=4y+\frac{489}{88}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=4\\x=y+\frac{-11}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{1617}{323}\\-2x=y+\frac{-624}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{19}{11}+2x\\-4x-y=\frac{-39}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{453}{266}-3x\\x+y=\frac{151}{266}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{35}{2}\\3x=4y+\frac{-39}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{117}{10}+4x\\x-y=\frac{-29}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{585}{119}\\4x-y=\frac{-26}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-14}{13}\\3x=-6y+\frac{51}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},1)\}\)
2. \(\left\{\begin{matrix}-x+2y=\frac{47}{3}\\3x=3y+-49\end{matrix}\right.\qquad V=\{(-17,\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-183}{76}\\-3x=y+\frac{3}{76}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-15}{19})\}\)
4. \(\left\{\begin{matrix}2x-6y=40\\-x-3y=10\end{matrix}\right.\qquad V=\{(5,-5)\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{13}{22}\\-x=4y+\frac{489}{88}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-17}{11})\}\)
6. \(\left\{\begin{matrix}-5x+2y=4\\x=y+\frac{-11}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{1617}{323}\\-2x=y+\frac{-624}{323}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{6}{17})\}\)
8. \(\left\{\begin{matrix}3y=\frac{19}{11}+2x\\-4x-y=\frac{-39}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},1)\}\)
9. \(\left\{\begin{matrix}3y=\frac{453}{266}-3x\\x+y=\frac{151}{266}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-15}{19})\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{35}{2}\\3x=4y+\frac{-39}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},3)\}\)
11. \(\left\{\begin{matrix}3y=\frac{117}{10}+4x\\x-y=\frac{-29}{10}\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{585}{119}\\4x-y=\frac{-26}{119}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{-10}{7})\}\)