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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{301}{90}+3x\\-6x-y=\frac{677}{90}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-y=\frac{-356}{105}\\-5x=4y+\frac{-524}{105}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-44}{5}\\-x=-y+\frac{-24}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{5}{6}+5x\\x-4y=\frac{-13}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-53}{21}+6x\\6x-y=\frac{95}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-65}{11}-x\\4x+5y=\frac{195}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{38}{65}\\3x-y=\frac{-49}{130}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-241}{70}\\-x=-3y+\frac{157}{140}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{283}{144}-5x\\-x-5y=\frac{17}{144}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{236}{57}\\5x=-2y+\frac{-844}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-15}{2}+3x\\-2x+y=-2\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{19}{14}\\2x=y+\frac{-64}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{301}{90}+3x\\-6x-y=\frac{677}{90}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{5}{18})\}\)
2. \(\left\{\begin{matrix}-5x-y=\frac{-356}{105}\\-5x=4y+\frac{-524}{105}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{8}{15})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-44}{5}\\-x=-y+\frac{-24}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-14}{5})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{5}{6}+5x\\x-4y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{6})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-53}{21}+6x\\6x-y=\frac{95}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-65}{11}-x\\4x+5y=\frac{195}{22}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{38}{65}\\3x-y=\frac{-49}{130}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{1}{13})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-241}{70}\\-x=-3y+\frac{157}{140}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-3}{20})\}\)
9. \(\left\{\begin{matrix}2y=\frac{283}{144}-5x\\-x-5y=\frac{17}{144}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-1}{9})\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{236}{57}\\5x=-2y+\frac{-844}{57}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-14}{19})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-15}{2}+3x\\-2x+y=-2\end{matrix}\right.\qquad V=\{(\frac{1}{2},-1)\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{19}{14}\\2x=y+\frac{-64}{21}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{5}{7})\}\)