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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-4y=24\\x+4y=-4\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-67}{5}+6x\\-5x-y=\frac{-129}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-6y=\frac{166}{35}\\3x=y+\frac{51}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{38}{9}\\-4x-3y=\frac{19}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-y=\frac{439}{30}\\-6x-2y=\frac{-107}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-1}{13}\\2x-y=\frac{115}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-y=\frac{644}{187}\\6x=2y+\frac{-1772}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{65}{12}\\4x+3y=\frac{-107}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{-200}{323}\\5x-3y=\frac{1304}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{-603}{140}\\-5x=-y+\frac{55}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-505}{39}\\x-6y=\frac{245}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-19}{6}\\-x-2y=\frac{5}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-4y=24\\x+4y=-4\end{matrix}\right.\qquad V=\{(-10,\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-67}{5}+6x\\-5x-y=\frac{-129}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}4x-6y=\frac{166}{35}\\3x=y+\frac{51}{35}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-3}{5})\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{38}{9}\\-4x-3y=\frac{19}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{7}{9})\}\)
5. \(\left\{\begin{matrix}5x-y=\frac{439}{30}\\-6x-2y=\frac{-107}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{6}{5})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-1}{13}\\2x-y=\frac{115}{26}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-3x-y=\frac{644}{187}\\6x=2y+\frac{-1772}{187}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{11}{17})\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{65}{12}\\4x+3y=\frac{-107}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{-200}{323}\\5x-3y=\frac{1304}{323}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{-2}{17})\}\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{-603}{140}\\-5x=-y+\frac{55}{28}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{-16}{7})\}\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-505}{39}\\x-6y=\frac{245}{39}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-10}{13})\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-19}{6}\\-x-2y=\frac{5}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{8})\}\)