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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+5y=\frac{61}{11}\\x=y+\frac{-12}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+3y=\frac{-276}{91}\\4x=3y+\frac{402}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{139}{30}+2x\\-4x-6y=\frac{1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=36\\-x-4y=-32\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{-324}{247}\\-5x=4y+\frac{319}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{86}{21}\\3x-y=\frac{-337}{210}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+y=\frac{-53}{20}\\-2x=3y+\frac{223}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{-61}{12}\\5x-y=\frac{17}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{19}{2}+2x\\x-2y=2\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{731}{18}+6x\\x-4y=\frac{-73}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{51}{5}+2x\\x+3y=\frac{-51}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{415}{48}\\2x+2y=\frac{323}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+5y=\frac{61}{11}\\x=y+\frac{-12}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},1)\}\)
2. \(\left\{\begin{matrix}-x+3y=\frac{-276}{91}\\4x=3y+\frac{402}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-6}{7})\}\)
3. \(\left\{\begin{matrix}y=\frac{139}{30}+2x\\-4x-6y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{17}{15})\}\)
4. \(\left\{\begin{matrix}3x+2y=36\\-x-4y=-32\end{matrix}\right.\qquad V=\{(8,6)\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{-324}{247}\\-5x=4y+\frac{319}{247}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{3}{19})\}\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{86}{21}\\3x-y=\frac{-337}{210}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{8}{15})\}\)
7. \(\left\{\begin{matrix}2x+y=\frac{-53}{20}\\-2x=3y+\frac{223}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-17}{4})\}\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{-61}{12}\\5x-y=\frac{17}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{11}{12})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{19}{2}+2x\\x-2y=2\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{731}{18}+6x\\x-4y=\frac{-73}{9}\end{matrix}\right.\qquad V=\{(-7,\frac{5}{18})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{51}{5}+2x\\x+3y=\frac{-51}{10}\end{matrix}\right.\qquad V=\{(-3,\frac{-7}{10})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{415}{48}\\2x+2y=\frac{323}{72}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{11}{16})\}\)