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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{875}{104}\\-x=-4y+\frac{-229}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=\frac{41}{14}\\-5x+3y=\frac{-97}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=33+2x\\-x-4y=\frac{62}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-233}{14}-4x\\-x+y=\frac{-41}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-412}{133}\\-2x=-4y+\frac{-508}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=\frac{-895}{14}\\-5x-6y=\frac{-1349}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-11}{2}+5x\\-x-5y=\frac{-39}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=22+6x\\x-y=\frac{-13}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+5y=\frac{-372}{91}\\x=-4y+\frac{-109}{182}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-6y=\frac{-21}{4}\\6x=-3y+-12\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-4y=\frac{-134}{9}\\-3x-2y=\frac{-29}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+y=\frac{-135}{136}\\4x=5y+\frac{-1341}{136}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{875}{104}\\-x=-4y+\frac{-229}{26}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-19}{8})\}\)
2. \(\left\{\begin{matrix}5x+y=\frac{41}{14}\\-5x+3y=\frac{-97}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{14},-1)\}\)
3. \(\left\{\begin{matrix}-3y=33+2x\\-x-4y=\frac{62}{3}\end{matrix}\right.\qquad V=\{(-14,\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-233}{14}-4x\\-x+y=\frac{-41}{28}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-9}{4})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-412}{133}\\-2x=-4y+\frac{-508}{133}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-10}{19})\}\)
6. \(\left\{\begin{matrix}x-4y=\frac{-895}{14}\\-5x-6y=\frac{-1349}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{14},16)\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-11}{2}+5x\\-x-5y=\frac{-39}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},4)\}\)
8. \(\left\{\begin{matrix}-3y=22+6x\\x-y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},-1)\}\)
9. \(\left\{\begin{matrix}4x+5y=\frac{-372}{91}\\x=-4y+\frac{-109}{182}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{2}{13})\}\)
10. \(\left\{\begin{matrix}x-6y=\frac{-21}{4}\\6x=-3y+-12\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}-x-4y=\frac{-134}{9}\\-3x-2y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{7}{2})\}\)
12. \(\left\{\begin{matrix}2x+y=\frac{-135}{136}\\4x=5y+\frac{-1341}{136}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{9}{8})\}\)