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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-1467}{272}+5x\\x+4y=\frac{127}{272}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+3y=\frac{-37}{12}\\5x=-y+\frac{-659}{72}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-233}{12}\\-2x=-2y+\frac{-35}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+5y=23\\-3x-y=26\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-101}{65}-3x\\2x-2y=\frac{2}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=\frac{23}{2}\\-3x=y+\frac{-19}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{253}{26}+4x\\6x+y=\frac{-243}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-29}{7}\\-x=-6y+\frac{-71}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{14}{3}+3x\\-2x+4y=\frac{14}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-9}{13}+x\\-4x+6y=\frac{62}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=-32+6x\\x+6y=-22\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=32+6x\\5x+6y=-68\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-1467}{272}+5x\\x+4y=\frac{127}{272}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{-2}{17})\}\)
2. \(\left\{\begin{matrix}2x+3y=\frac{-37}{12}\\5x=-y+\frac{-659}{72}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{2}{9})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-233}{12}\\-2x=-2y+\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{11}{4})\}\)
4. \(\left\{\begin{matrix}-2x+5y=23\\-3x-y=26\end{matrix}\right.\qquad V=\{(-9,1)\}\)
5. \(\left\{\begin{matrix}y=\frac{-101}{65}-3x\\2x-2y=\frac{2}{65}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-2}{5})\}\)
6. \(\left\{\begin{matrix}6x-2y=\frac{23}{2}\\-3x=y+\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{253}{26}+4x\\6x+y=\frac{-243}{26}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-29}{7}\\-x=-6y+\frac{-71}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}-y=\frac{14}{3}+3x\\-2x+4y=\frac{14}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-7}{15})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-9}{13}+x\\-4x+6y=\frac{62}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{13})\}\)
11. \(\left\{\begin{matrix}5y=-32+6x\\x+6y=-22\end{matrix}\right.\qquad V=\{(2,-4)\}\)
12. \(\left\{\begin{matrix}-y=32+6x\\5x+6y=-68\end{matrix}\right.\qquad V=\{(-4,-8)\}\)