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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-y=\frac{-34}{7}\\-5x+6y=\frac{-3}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{10}{7}+2x\\-3x-5y=\frac{41}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{58}{3}\\-x=y+\frac{-53}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{82}{15}\\-x+y=\frac{7}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-6y=\frac{125}{7}\\-x+y=\frac{-131}{42}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{-61}{18}\\-5x+2y=\frac{74}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-35}{12}-x\\-2x+3y=\frac{11}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-y=\frac{-61}{10}\\-6x=-4y+\frac{-47}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{259}{52}\\-x-y=\frac{7}{52}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{455}{99}\\-6x=-3y+\frac{167}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{1}{8}\\2x-5y=\frac{91}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-361}{144}-x\\-2x-5y=\frac{-431}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-y=\frac{-34}{7}\\-5x+6y=\frac{-3}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},1)\}\)
2. \(\left\{\begin{matrix}y=\frac{10}{7}+2x\\-3x-5y=\frac{41}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{7})\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{58}{3}\\-x=y+\frac{-53}{6}\end{matrix}\right.\qquad V=\{(8,\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{82}{15}\\-x+y=\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{4}{5})\}\)
5. \(\left\{\begin{matrix}3x-6y=\frac{125}{7}\\-x+y=\frac{-131}{42}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-17}{6})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{-61}{18}\\-5x+2y=\frac{74}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-35}{12}-x\\-2x+3y=\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{13}{18})\}\)
8. \(\left\{\begin{matrix}-5x-y=\frac{-61}{10}\\-6x=-4y+\frac{-47}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{259}{52}\\-x-y=\frac{7}{52}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{455}{99}\\-6x=-3y+\frac{167}{33}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-11}{9})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{1}{8}\\2x-5y=\frac{91}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-15}{8})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-361}{144}-x\\-2x-5y=\frac{-431}{72}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{11}{9})\}\)