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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{-387}{190}\\-2x=-5y+\frac{-101}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{-116}{15}\\x-y=\frac{1}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-125}{8}-4x\\-x-y=\frac{55}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-989}{130}-x\\5x+6y=\frac{-125}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-447}{130}+4x\\-x+4y=\frac{-272}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-40}{7}+4x\\6x+y=\frac{4}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{54}{5}\\4x=6y+\frac{-76}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\x-2y=0\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-311}{26}\\-x-y=\frac{-279}{52}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+4y=\frac{-53}{15}\\x=-3y+\frac{119}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{293}{91}\\x+2y=\frac{148}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{23}{3}\\3x+4y=\frac{-1}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{-387}{190}\\-2x=-5y+\frac{-101}{38}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-3}{10})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{-116}{15}\\x-y=\frac{1}{15}\end{matrix}\right.\qquad V=\{(1,\frac{14}{15})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-125}{8}-4x\\-x-y=\frac{55}{16}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-15}{16})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-989}{130}-x\\5x+6y=\frac{-125}{26}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-18}{13})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-447}{130}+4x\\-x+4y=\frac{-272}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-7}{10})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-40}{7}+4x\\6x+y=\frac{4}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},1)\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{54}{5}\\4x=6y+\frac{-76}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{-14}{5})\}\)
8. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\x-2y=0\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-311}{26}\\-x-y=\frac{-279}{52}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{19}{4})\}\)
10. \(\left\{\begin{matrix}-6x+4y=\frac{-53}{15}\\x=-3y+\frac{119}{90}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{293}{91}\\x+2y=\frac{148}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{5}{13})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{23}{3}\\3x+4y=\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{4}{3})\}\)