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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-4y=\frac{487}{70}\\3x-6y=\frac{933}{70}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{209}{130}\\-2x=4y+\frac{149}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{5}{11}-x\\6x-6y=\frac{-42}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{5}{6}+2x\\-x+4y=\frac{-19}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-61}{21}\\x=-y+\frac{61}{84}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-31}{6}-3x\\x+y=\frac{-41}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-31}{5}\\-6x-y=\frac{107}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-5}{8}+5x\\3x+6y=\frac{-33}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{775}{13}\\3x=y+\frac{439}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-499}{4}+2x\\-x-6y=\frac{941}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{145}{14}+5x\\x-4y=\frac{59}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-1469}{165}\\-x=-6y+\frac{-139}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-4y=\frac{487}{70}\\3x-6y=\frac{933}{70}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-19}{10})\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{209}{130}\\-2x=4y+\frac{149}{65}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{1}{13})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{5}{11}-x\\6x-6y=\frac{-42}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{11})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{5}{6}+2x\\-x+4y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-61}{21}\\x=-y+\frac{61}{84}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{15}{7})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-31}{6}-3x\\x+y=\frac{-41}{18}\end{matrix}\right.\qquad V=\{(-2,\frac{-5}{18})\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-31}{5}\\-6x-y=\frac{107}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-5}{8}+5x\\3x+6y=\frac{-33}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{775}{13}\\3x=y+\frac{439}{13}\end{matrix}\right.\qquad V=\{(11,\frac{-10}{13})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-499}{4}+2x\\-x-6y=\frac{941}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},-20)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{145}{14}+5x\\x-4y=\frac{59}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-10}{7})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-1469}{165}\\-x=-6y+\frac{-139}{55}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{-2}{15})\}\)