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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{410}{21}\\x=5y+\frac{590}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-157}{5}\\-x-3y=\frac{-232}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=-9\\-4x=-2y+\frac{22}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-4y=\frac{75}{17}\\2x+y=\frac{72}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-13}{5}\\x-2y=\frac{7}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{-313}{112}\\4x+2y=\frac{-127}{56}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-3y=\frac{13}{3}\\-x=-5y+\frac{-127}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-64}{15}\\3x-y=\frac{211}{60}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{-263}{20}\\x+5y=\frac{739}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+4y=\frac{943}{130}\\-4x=-3y+\frac{14}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-22}{9}+5x\\-x+3y=\frac{-53}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=-27+5x\\-3x-y=-12\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{410}{21}\\x=5y+\frac{590}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-16}{3})\}\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-157}{5}\\-x-3y=\frac{-232}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{15},5)\}\)
3. \(\left\{\begin{matrix}-x-6y=-9\\-4x=-2y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}5x-4y=\frac{75}{17}\\2x+y=\frac{72}{85}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-6}{17})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-13}{5}\\x-2y=\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{-313}{112}\\4x+2y=\frac{-127}{56}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{7}{16})\}\)
7. \(\left\{\begin{matrix}5x-3y=\frac{13}{3}\\-x=-5y+\frac{-127}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-4}{9})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-64}{15}\\3x-y=\frac{211}{60}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-17}{12})\}\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{-263}{20}\\x+5y=\frac{739}{60}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{9}{4})\}\)
10. \(\left\{\begin{matrix}x+4y=\frac{943}{130}\\-4x=-3y+\frac{14}{65}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{20}{13})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-22}{9}+5x\\-x+3y=\frac{-53}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-17}{18})\}\)
12. \(\left\{\begin{matrix}-4y=-27+5x\\-3x-y=-12\end{matrix}\right.\qquad V=\{(3,3)\}\)