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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{419}{17}+4x\\-4x-y=\frac{339}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=\frac{136}{133}\\3x=-y+\frac{200}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-39}{8}+3x\\6x-y=\frac{-1}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{-118}{15}\\-x=-4y+\frac{-106}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-83}{6}\\-4x+y=\frac{71}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-279}{10}\\-x=-y+\frac{-99}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{793}{28}\\-x-y=\frac{145}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+5y=\frac{19}{6}\\2x+5y=2\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-357}{19}\\-x=6y+\frac{-330}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=4\\x-3y=0\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=\frac{-17}{30}\\2x=2y+\frac{-391}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{97}{52}\\-x=4y+\frac{-103}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{419}{17}+4x\\-4x-y=\frac{339}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-16}{17})\}\)
2. \(\left\{\begin{matrix}4x+6y=\frac{136}{133}\\3x=-y+\frac{200}{133}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-4}{19})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-39}{8}+3x\\6x-y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},-2)\}\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{-118}{15}\\-x=-4y+\frac{-106}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-83}{6}\\-4x+y=\frac{71}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-19}{15})\}\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-279}{10}\\-x=-y+\frac{-99}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-9}{2})\}\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{793}{28}\\-x-y=\frac{145}{28}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-17}{7})\}\)
8. \(\left\{\begin{matrix}x+5y=\frac{19}{6}\\2x+5y=2\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{13}{15})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-357}{19}\\-x=6y+\frac{-330}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},3)\}\)
10. \(\left\{\begin{matrix}-6x+6y=4\\x-3y=0\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}x+3y=\frac{-17}{30}\\2x=2y+\frac{-391}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{17}{18})\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{97}{52}\\-x=4y+\frac{-103}{26}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{11}{8})\}\)