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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+3y=\frac{314}{21}\\-x-2y=\frac{-172}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-61}{36}\\x=y+\frac{-145}{72}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+3y=\frac{17}{7}\\x=5y+\frac{89}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{268}{119}\\-x=-5y+\frac{-226}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{157}{136}\\4x-6y=\frac{-125}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=13+5x\\4x-4y=\frac{-28}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-49}{12}+4x\\-5x-5y=\frac{-20}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{55}{12}\\2x=5y+\frac{11}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-522}{77}-4x\\4x+y=\frac{-613}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-119}{16}-3x\\2x-y=\frac{-25}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{11}{5}+2x\\-x-5y=\frac{77}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{74}{5}+4x\\x-2y=\frac{-14}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+3y=\frac{314}{21}\\-x-2y=\frac{-172}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{10}{7})\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-61}{36}\\x=y+\frac{-145}{72}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{7}{18})\}\)
3. \(\left\{\begin{matrix}4x+3y=\frac{17}{7}\\x=5y+\frac{89}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},-1)\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{268}{119}\\-x=-5y+\frac{-226}{119}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-2}{7})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{157}{136}\\4x-6y=\frac{-125}{34}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-8}{17})\}\)
6. \(\left\{\begin{matrix}-y=13+5x\\4x-4y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},-1)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-49}{12}+4x\\-5x-5y=\frac{-20}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{5}{12})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{55}{12}\\2x=5y+\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-13}{12})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-522}{77}-4x\\4x+y=\frac{-613}{77}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{13}{11})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-119}{16}-3x\\2x-y=\frac{-25}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{11}{2})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{11}{5}+2x\\-x-5y=\frac{77}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{-11}{12})\}\)
12. \(\left\{\begin{matrix}2y=\frac{74}{5}+4x\\x-2y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{-3}{5})\}\)