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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=\frac{-381}{55}\\x+4y=\frac{-146}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-65}{28}\\-x-4y=\frac{-285}{112}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+3y=\frac{29}{10}\\-x=-6y+\frac{13}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{964}{323}\\-5x-6y=\frac{-450}{323}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{407}{20}\\-x=-6y+\frac{143}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{29}{78}-x\\-4x+6y=\frac{-251}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=4\\4x=y+\frac{29}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{13}{56}+5x\\4x-y=\frac{9}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{401}{11}-2x\\4x+y=\frac{867}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{91}{17}+x\\-3x-5y=\frac{285}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-561}{133}\\x-5y=\frac{-1105}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-233}{130}-x\\-2x+3y=\frac{609}{130}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=\frac{-381}{55}\\x+4y=\frac{-146}{55}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-3}{10})\}\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-65}{28}\\-x-4y=\frac{-285}{112}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{5}{7})\}\)
3. \(\left\{\begin{matrix}4x+3y=\frac{29}{10}\\-x=-6y+\frac{13}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{10})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{964}{323}\\-5x-6y=\frac{-450}{323}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{10}{19})\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{407}{20}\\-x=-6y+\frac{143}{10}\end{matrix}\right.\qquad V=\{(-11,\frac{11}{20})\}\)
6. \(\left\{\begin{matrix}2y=\frac{29}{78}-x\\-4x+6y=\frac{-251}{26}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-7}{12})\}\)
7. \(\left\{\begin{matrix}2x+2y=4\\4x=y+\frac{29}{13}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{15}{13})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{13}{56}+5x\\4x-y=\frac{9}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-1}{7})\}\)
9. \(\left\{\begin{matrix}3y=\frac{401}{11}-2x\\4x+y=\frac{867}{11}\end{matrix}\right.\qquad V=\{(20,\frac{-13}{11})\}\)
10. \(\left\{\begin{matrix}-y=\frac{91}{17}+x\\-3x-5y=\frac{285}{17}\end{matrix}\right.\qquad V=\{(-5,\frac{-6}{17})\}\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-561}{133}\\x-5y=\frac{-1105}{133}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{12}{7})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-233}{130}-x\\-2x+3y=\frac{609}{130}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{11}{10})\}\)