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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-2y=\frac{1}{5}\\6x-y=\frac{-13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-301}{24}\\-2x=-2y+\frac{-109}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-y=\frac{1}{14}\\-6x=6y+-9\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{383}{119}\\-x=6y+\frac{-199}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-78}{19}-4x\\x-3y=\frac{66}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-277}{35}\\-x=-5y+\frac{37}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-94}{7}\\x+y=\frac{-47}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-2y=\frac{52}{15}\\6x-y=\frac{53}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-83}{15}-5x\\-5x-y=\frac{118}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{11}{10}\\-3x-4y=\frac{-89}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{1}{6}\\-x=-y+\frac{-37}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{759}{130}\\6x=y+\frac{-1453}{260}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-2y=\frac{1}{5}\\6x-y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-1)\}\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-301}{24}\\-2x=-2y+\frac{-109}{12}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-15}{8})\}\)
3. \(\left\{\begin{matrix}-3x-y=\frac{1}{14}\\-6x=6y+-9\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{16}{7})\}\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{383}{119}\\-x=6y+\frac{-199}{119}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{10}{17})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-78}{19}-4x\\x-3y=\frac{66}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},-1)\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-277}{35}\\-x=-5y+\frac{37}{14}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{11}{10})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-94}{7}\\x+y=\frac{-47}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{-19}{7})\}\)
8. \(\left\{\begin{matrix}6x-2y=\frac{52}{15}\\6x-y=\frac{53}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{15})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-83}{15}-5x\\-5x-y=\frac{118}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{7}{15})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{11}{10}\\-3x-4y=\frac{-89}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},2)\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{1}{6}\\-x=-y+\frac{-37}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-11}{6})\}\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{759}{130}\\6x=y+\frac{-1453}{260}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{1}{20})\}\)