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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=-23\\4x+5y=\frac{-85}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-6y=\frac{-17}{4}\\3x=-2y+\frac{19}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-37}{6}-2x\\-x+4y=\frac{59}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{41}{2}\\x-y=\frac{-11}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-19}{13}+4x\\2x+6y=\frac{-62}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-3y=\frac{444}{55}\\-5x+4y=\frac{-647}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{-351}{10}\\x+4y=\frac{-383}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{1}{5}\\-4x+3y=\frac{24}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{219}{70}\\-4x=y+\frac{103}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{27}{10}-2x\\3x-2y=\frac{93}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{-10}{3}\\-6x=6y+13\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-1499}{68}\\x-3y=\frac{-423}{68}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=-23\\4x+5y=\frac{-85}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}x-6y=\frac{-17}{4}\\3x=-2y+\frac{19}{4}\end{matrix}\right.\qquad V=\{(1,\frac{7}{8})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-37}{6}-2x\\-x+4y=\frac{59}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{17}{20})\}\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{41}{2}\\x-y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(-5,\frac{-19}{6})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-19}{13}+4x\\2x+6y=\frac{-62}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},-1)\}\)
6. \(\left\{\begin{matrix}x-3y=\frac{444}{55}\\-5x+4y=\frac{-647}{55}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-13}{5})\}\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{-351}{10}\\x+4y=\frac{-383}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},-5)\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{1}{5}\\-4x+3y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{15})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{219}{70}\\-4x=y+\frac{103}{70}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-9}{10})\}\)
10. \(\left\{\begin{matrix}-y=\frac{27}{10}-2x\\3x-2y=\frac{93}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-6}{5})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{-10}{3}\\-6x=6y+13\end{matrix}\right.\qquad V=\{(\frac{-7}{6},-1)\}\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-1499}{68}\\x-3y=\frac{-423}{68}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{14}{17})\}\)