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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{319}{5}-6x\\6x+y=\frac{64}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{19}{10}-3x\\2x-y=\frac{-44}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+y=\frac{-161}{15}\\2x+6y=\frac{-36}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-247}{42}\\-x+3y=\frac{26}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+3y=\frac{-484}{13}\\x=-5y+\frac{-200}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-272}{33}\\-6x+3y=\frac{32}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{187}{28}-5x\\-x-4y=\frac{-53}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{103}{5}+6x\\x-3y=\frac{-121}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-281}{36}+x\\-6x+6y=\frac{59}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{73}{12}\\5x-y=\frac{89}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{373}{52}-4x\\x-6y=\frac{-85}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=-34\\-3x-y=19\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{319}{5}-6x\\6x+y=\frac{64}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},17)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{19}{10}-3x\\2x-y=\frac{-44}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{-7}{5})\}\)
3. \(\left\{\begin{matrix}4x+y=\frac{-161}{15}\\2x+6y=\frac{-36}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-247}{42}\\-x+3y=\frac{26}{21}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{13}{18})\}\)
5. \(\left\{\begin{matrix}2x+3y=\frac{-484}{13}\\x=-5y+\frac{-200}{13}\end{matrix}\right.\qquad V=\{(-20,\frac{12}{13})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-272}{33}\\-6x+3y=\frac{32}{11}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-8}{3})\}\)
7. \(\left\{\begin{matrix}6y=\frac{187}{28}-5x\\-x-4y=\frac{-53}{14}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{7}{8})\}\)
8. \(\left\{\begin{matrix}5y=\frac{103}{5}+6x\\x-3y=\frac{-121}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},4)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-281}{36}+x\\-6x+6y=\frac{59}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{17}{9})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{73}{12}\\5x-y=\frac{89}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}3y=\frac{373}{52}-4x\\x-6y=\frac{-85}{26}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}-2x+6y=-34\\-3x-y=19\end{matrix}\right.\qquad V=\{(-4,-7)\}\)