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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-151}{66}+x\\-3x-4y=\frac{-377}{99}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+2y=2\\5x=4y+-16\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+2y=\frac{551}{9}\\-x=2y+\frac{-101}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+y=\frac{-65}{8}\\5x=3y+\frac{251}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-213}{35}\\-5x+y=\frac{383}{70}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{-61}{13}\\3x+6y=\frac{-27}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{176}{21}+2x\\-x-6y=\frac{-317}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+3y=\frac{218}{33}\\-4x=-y+\frac{-52}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+5y=\frac{93}{7}\\-x+6y=14\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-1355}{104}\\-2x-3y=\frac{-981}{104}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{5}{63}\\-3x-6y=\frac{-110}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{33}{119}-3x\\x+4y=\frac{67}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-151}{66}+x\\-3x-4y=\frac{-377}{99}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{11}{18})\}\)
2. \(\left\{\begin{matrix}-x+2y=2\\5x=4y+-16\end{matrix}\right.\qquad V=\{(-4,-1)\}\)
3. \(\left\{\begin{matrix}6x+2y=\frac{551}{9}\\-x=2y+\frac{-101}{9}\end{matrix}\right.\qquad V=\{(10,\frac{11}{18})\}\)
4. \(\left\{\begin{matrix}x+y=\frac{-65}{8}\\5x=3y+\frac{251}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},-9)\}\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-213}{35}\\-5x+y=\frac{383}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-3}{5})\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{-61}{13}\\3x+6y=\frac{-27}{13}\end{matrix}\right.\qquad V=\{(\frac{17}{13},-1)\}\)
7. \(\left\{\begin{matrix}3y=\frac{176}{21}+2x\\-x-6y=\frac{-317}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{18}{7})\}\)
8. \(\left\{\begin{matrix}5x+3y=\frac{218}{33}\\-4x=-y+\frac{-52}{33}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{12}{11})\}\)
9. \(\left\{\begin{matrix}2x+5y=\frac{93}{7}\\-x+6y=14\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{17}{7})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-1355}{104}\\-2x-3y=\frac{-981}{104}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{19}{8})\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{5}{63}\\-3x-6y=\frac{-110}{21}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{-5}{9})\}\)
12. \(\left\{\begin{matrix}4y=\frac{33}{119}-3x\\x+4y=\frac{67}{119}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{3}{17})\}\)