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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-7}{11}\\-3x=5y+\frac{28}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-1192}{19}-4x\\x+4y=\frac{-773}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{62}{7}-x\\3x+3y=\frac{156}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-705}{26}+4x\\x-y=\frac{-135}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{333}{22}\\-x=-6y+\frac{248}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+4y=\frac{26}{15}\\-x+4y=\frac{23}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-651}{65}\\6x=y+\frac{-804}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-15}{34}-x\\2x-3y=\frac{3}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=24\\5x=2y+15\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-2}{95}+x\\-5x+5y=\frac{18}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{5}{8}+2x\\-x+6y=\frac{45}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-139}{144}-3x\\5x+2y=\frac{179}{144}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-7}{11}\\-3x=5y+\frac{28}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},-1)\}\)
2. \(\left\{\begin{matrix}6y=\frac{-1192}{19}-4x\\x+4y=\frac{-773}{19}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},-10)\}\)
3. \(\left\{\begin{matrix}2y=\frac{62}{7}-x\\3x+3y=\frac{156}{7}\end{matrix}\right.\qquad V=\{(6,\frac{10}{7})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-705}{26}+4x\\x-y=\frac{-135}{52}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{15}{4})\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{333}{22}\\-x=-6y+\frac{248}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}2x+4y=\frac{26}{15}\\-x+4y=\frac{23}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-651}{65}\\6x=y+\frac{-804}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{18}{5})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-15}{34}-x\\2x-3y=\frac{3}{17}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-18}{17})\}\)
9. \(\left\{\begin{matrix}-x-5y=24\\5x=2y+15\end{matrix}\right.\qquad V=\{(1,-5)\}\)
10. \(\left\{\begin{matrix}2y=\frac{-2}{95}+x\\-5x+5y=\frac{18}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-4}{19})\}\)
11. \(\left\{\begin{matrix}2y=\frac{5}{8}+2x\\-x+6y=\frac{45}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{17}{16})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-139}{144}-3x\\5x+2y=\frac{179}{144}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{7}{9})\}\)