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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{-254}{39}\\-6x-y=\frac{154}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=\frac{51}{112}\\-4x=3y+\frac{531}{112}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{9}{2}\\x+5y=\frac{-11}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-52}{77}+3x\\x+4y=\frac{50}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+3y=\frac{21}{4}\\-x-2y=\frac{-19}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{23}{3}\\2x=-y+\frac{-23}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-199}{120}\\5x+3y=\frac{327}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-41}{76}+x\\-2x+6y=\frac{203}{76}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{-724}{51}\\6x=y+\frac{316}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+y=\frac{5}{8}\\-6x=-3y+\frac{57}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{121}{15}-x\\2x-2y=\frac{-178}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=-18-4x\\-x+3y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{-254}{39}\\-6x-y=\frac{154}{39}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}x-3y=\frac{51}{112}\\-4x=3y+\frac{531}{112}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-7}{16})\}\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{9}{2}\\x+5y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-13}{10})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-52}{77}+3x\\x+4y=\frac{50}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{1}{11})\}\)
5. \(\left\{\begin{matrix}2x+3y=\frac{21}{4}\\-x-2y=\frac{-19}{6}\end{matrix}\right.\qquad V=\{(1,\frac{13}{12})\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{23}{3}\\2x=-y+\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},-1)\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-199}{120}\\5x+3y=\frac{327}{40}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{19}{15})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-41}{76}+x\\-2x+6y=\frac{203}{76}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{3}{8})\}\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{-724}{51}\\6x=y+\frac{316}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-8}{3})\}\)
10. \(\left\{\begin{matrix}x+y=\frac{5}{8}\\-6x=-3y+\frac{57}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},2)\}\)
11. \(\left\{\begin{matrix}5y=\frac{121}{15}-x\\2x-2y=\frac{-178}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{7}{3})\}\)
12. \(\left\{\begin{matrix}-6y=-18-4x\\-x+3y=4\end{matrix}\right.\qquad V=\{(-5,\frac{-1}{3})\}\)