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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{-177}{11}\\x=-4y+\frac{197}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-215}{4}+x\\4x+6y=-45\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=\frac{237}{26}\\-x=2y+\frac{-41}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+y=\frac{817}{255}\\-5x=6y+\frac{-76}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+y=\frac{-201}{7}\\6x=5y+\frac{319}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-11}{119}-2x\\-6x+y=\frac{-1481}{238}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-270}{17}+6x\\x+2y=\frac{65}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+3y=\frac{537}{91}\\x=y+\frac{29}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{252}{85}\\x-4y=\frac{-267}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-407}{104}+3x\\-3x+y=\frac{-671}{208}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{112}{15}\\-x-y=\frac{-8}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-2y=\frac{9}{2}\\-4x=6y+\frac{36}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{-177}{11}\\x=-4y+\frac{197}{55}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{17}{11})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-215}{4}+x\\4x+6y=-45\end{matrix}\right.\qquad V=\{(\frac{15}{4},-10)\}\)
3. \(\left\{\begin{matrix}3x+3y=\frac{237}{26}\\-x=2y+\frac{-41}{26}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-19}{13})\}\)
4. \(\left\{\begin{matrix}4x+y=\frac{817}{255}\\-5x=6y+\frac{-76}{51}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-9}{17})\}\)
5. \(\left\{\begin{matrix}-4x+y=\frac{-201}{7}\\6x=5y+\frac{319}{7}\end{matrix}\right.\qquad V=\{(7,\frac{-5}{7})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-11}{119}-2x\\-6x+y=\frac{-1481}{238}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-13}{14})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-270}{17}+6x\\x+2y=\frac{65}{34}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-5}{17})\}\)
8. \(\left\{\begin{matrix}5x+3y=\frac{537}{91}\\x=y+\frac{29}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{7}{13})\}\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{252}{85}\\x-4y=\frac{-267}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-407}{104}+3x\\-3x+y=\frac{-671}{208}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-11}{16})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{112}{15}\\-x-y=\frac{-8}{15}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}x-2y=\frac{9}{2}\\-4x=6y+\frac{36}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-9}{5})\}\)