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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{-1}{3}\\-x=5y+\frac{38}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-240}{11}+6x\\-5x-y=\frac{130}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-170}{13}-5x\\-6x-y=\frac{176}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-567}{68}\\5x=-y+\frac{-175}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{7}{6}-2x\\5x-6y=\frac{77}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{-145}{2}\\x+6y=\frac{139}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{137}{15}+2x\\-x+2y=\frac{52}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{1}{112}\\2x=5y+\frac{-527}{112}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-4y=\frac{173}{15}\\4x=4y+\frac{488}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-241}{70}-x\\4x+2y=\frac{134}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{1148}{85}\\3x-y=\frac{-566}{255}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{248}{9}\\-x=-6y+\frac{-629}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{-1}{3}\\-x=5y+\frac{38}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-240}{11}+6x\\-5x-y=\frac{130}{11}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},-5)\}\)
3. \(\left\{\begin{matrix}2y=\frac{-170}{13}-5x\\-6x-y=\frac{176}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-20}{13})\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-567}{68}\\5x=-y+\frac{-175}{68}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{5}{4})\}\)
5. \(\left\{\begin{matrix}-y=\frac{7}{6}-2x\\5x-6y=\frac{77}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},-1)\}\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{-145}{2}\\x+6y=\frac{139}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},11)\}\)
7. \(\left\{\begin{matrix}5y=\frac{137}{15}+2x\\-x+2y=\frac{52}{15}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{11}{5})\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{1}{112}\\2x=5y+\frac{-527}{112}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{5}{16})\}\)
9. \(\left\{\begin{matrix}x-4y=\frac{173}{15}\\4x=4y+\frac{488}{15}\end{matrix}\right.\qquad V=\{(7,\frac{-17}{15})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-241}{70}-x\\4x+2y=\frac{134}{35}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{1148}{85}\\3x-y=\frac{-566}{255}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{-17}{15})\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{248}{9}\\-x=-6y+\frac{-629}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},-12)\}\)