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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-3y=\frac{-15}{11}\\-3x=y+\frac{-29}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{71}{9}-5x\\-x-3y=-1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-71}{6}\\4x+y=\frac{-29}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+y=\frac{-40}{3}\\6x+6y=22\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-y=\frac{627}{85}\\5x+5y=\frac{-219}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{16}{11}+2x\\6x+3y=\frac{-48}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{89}{6}+3x\\6x-y=\frac{-377}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-532}{51}\\6x+y=\frac{-254}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{964}{323}\\x=5y+\frac{-1934}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+3y=\frac{107}{16}\\x=y+\frac{39}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-448}{11}-2x\\5x-y=\frac{-108}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{26}{15}-6x\\-6x-y=\frac{5}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-3y=\frac{-15}{11}\\-3x=y+\frac{-29}{33}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}2y=\frac{71}{9}-5x\\-x-3y=-1\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-2}{9})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-71}{6}\\4x+y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-11}{3})\}\)
4. \(\left\{\begin{matrix}-5x+y=\frac{-40}{3}\\6x+6y=22\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{5}{6})\}\)
5. \(\left\{\begin{matrix}-3x-y=\frac{627}{85}\\5x+5y=\frac{-219}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-3}{17})\}\)
6. \(\left\{\begin{matrix}-y=\frac{16}{11}+2x\\6x+3y=\frac{-48}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{11})\}\)
7. \(\left\{\begin{matrix}2y=\frac{89}{6}+3x\\6x-y=\frac{-377}{12}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-7}{12})\}\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-532}{51}\\6x+y=\frac{-254}{51}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-16}{3})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{964}{323}\\x=5y+\frac{-1934}{323}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}4x+3y=\frac{107}{16}\\x=y+\frac{39}{16}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{16})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-448}{11}-2x\\5x-y=\frac{-108}{11}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},8)\}\)
12. \(\left\{\begin{matrix}4y=\frac{26}{15}-6x\\-6x-y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{17}{15})\}\)