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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-3y=\frac{72}{19}\\-4x+6y=\frac{-168}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-3y=\frac{-181}{144}\\6x=y+\frac{-205}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-613}{90}+5x\\5x-4y=\frac{149}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-404}{15}\\x=-6y+\frac{-68}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-557}{234}\\-6x-5y=\frac{517}{234}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-59}{17}\\-x-y=\frac{22}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{281}{56}\\x-3y=\frac{229}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-4y=\frac{44}{45}\\x+y=\frac{-151}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{14}{5}-x\\5x-4y=\frac{-43}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{271}{10}-6x\\2x+3y=\frac{359}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{25}{6}+x\\-6x+5y=\frac{15}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-1011}{119}-3x\\-3x+y=\frac{407}{238}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-3y=\frac{72}{19}\\-4x+6y=\frac{-168}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}5x-3y=\frac{-181}{144}\\6x=y+\frac{-205}{48}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-17}{16})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-613}{90}+5x\\5x-4y=\frac{149}{45}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{7}{10})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-404}{15}\\x=-6y+\frac{-68}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{2}{15})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-557}{234}\\-6x-5y=\frac{517}{234}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{7}{18})\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-59}{17}\\-x-y=\frac{22}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},-1)\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{281}{56}\\x-3y=\frac{229}{56}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-11}{7})\}\)
8. \(\left\{\begin{matrix}4x-4y=\frac{44}{45}\\x+y=\frac{-151}{45}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{-9}{5})\}\)
9. \(\left\{\begin{matrix}6y=\frac{14}{5}-x\\5x-4y=\frac{-43}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{5}{6})\}\)
10. \(\left\{\begin{matrix}y=\frac{271}{10}-6x\\2x+3y=\frac{359}{30}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{11}{10})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{25}{6}+x\\-6x+5y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-1011}{119}-3x\\-3x+y=\frac{407}{238}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{19}{14})\}\)