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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-211}{33}+2x\\-6x-y=\frac{-547}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+2y=\frac{-260}{3}\\-x-6y=-6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=5-6x\\-x+y=\frac{-6}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{200}{7}\\-x+y=\frac{-50}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{7}{12}+x\\5x+4y=\frac{43}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-796}{209}\\-x-5y=\frac{-1252}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-29}{9}+5x\\-x+2y=\frac{41}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-39}{10}-4x\\x-y=\frac{-1}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-y=\frac{75}{14}\\4x=2y+\frac{55}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{93}{16}+x\\-5x+3y=\frac{361}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{-313}{176}\\6x-2y=\frac{-409}{88}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{104}{3}\\-x=3y+\frac{-181}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-211}{33}+2x\\-6x-y=\frac{-547}{165}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{17}{15})\}\)
2. \(\left\{\begin{matrix}-6x+2y=\frac{-260}{3}\\-x-6y=-6\end{matrix}\right.\qquad V=\{(14,\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}5y=5-6x\\-x+y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{5})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{200}{7}\\-x+y=\frac{-50}{7}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},-10)\}\)
5. \(\left\{\begin{matrix}5y=\frac{7}{12}+x\\5x+4y=\frac{43}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{3}{20})\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-796}{209}\\-x-5y=\frac{-1252}{209}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{20}{19})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-29}{9}+5x\\-x+2y=\frac{41}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{9})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-39}{10}-4x\\x-y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}3x-y=\frac{75}{14}\\4x=2y+\frac{55}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-15}{14})\}\)
10. \(\left\{\begin{matrix}-y=\frac{93}{16}+x\\-5x+3y=\frac{361}{16}\end{matrix}\right.\qquad V=\{(-5,\frac{-13}{16})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{-313}{176}\\6x-2y=\frac{-409}{88}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{11}{16})\}\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{104}{3}\\-x=3y+\frac{-181}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{19}{2})\}\)