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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-1}{10}-3x\\-5x+5y=6\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{168}{17}-6x\\-x+5y=\frac{-92}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+2y=-3\\2x=-y+\frac{-39}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-629}{60}\\x=2y+\frac{-119}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{127}{19}\\x=3y+\frac{23}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{19}{3}-x\\3x-5y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-129}{28}-2x\\-x+5y=\frac{165}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+2y=\frac{-1284}{11}\\4x=-y+\frac{-851}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-1}{15}+2x\\2x+y=\frac{-11}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{472}{63}-5x\\-6x-6y=\frac{-368}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-349}{48}-5x\\-x-y=\frac{349}{240}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-163}{10}+6x\\3x+2y=\frac{733}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-1}{10}-3x\\-5x+5y=6\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{168}{17}-6x\\-x+5y=\frac{-92}{17}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-16}{17})\}\)
3. \(\left\{\begin{matrix}2x+2y=-3\\2x=-y+\frac{-39}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-3}{14})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-629}{60}\\x=2y+\frac{-119}{60}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{17}{10})\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{127}{19}\\x=3y+\frac{23}{19}\end{matrix}\right.\qquad V=\{(2,\frac{5}{19})\}\)
6. \(\left\{\begin{matrix}5y=\frac{19}{3}-x\\3x-5y=-1\end{matrix}\right.\qquad V=\{(\frac{4}{3},1)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-129}{28}-2x\\-x+5y=\frac{165}{56}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{3}{14})\}\)
8. \(\left\{\begin{matrix}6x+2y=\frac{-1284}{11}\\4x=-y+\frac{-851}{11}\end{matrix}\right.\qquad V=\{(-19,\frac{-15}{11})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-1}{15}+2x\\2x+y=\frac{-11}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{15})\}\)
10. \(\left\{\begin{matrix}y=\frac{472}{63}-5x\\-6x-6y=\frac{-368}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{16}{9})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-349}{48}-5x\\-x-y=\frac{349}{240}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-19}{15})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-163}{10}+6x\\3x+2y=\frac{733}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},19)\}\)