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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+4y=\frac{13}{4}\\-6x-y=\frac{143}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{17}{234}+x\\-2x+3y=\frac{-64}{117}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-61}{285}-3x\\-x-6y=\frac{-711}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{19}{8}\\3x+4y=\frac{-45}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{221}{14}+5x\\3x-y=\frac{-377}{84}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{23}{10}-4x\\-5x-6y=\frac{119}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-19}{20}\\-6x=-3y+\frac{-51}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{-20}{13}\\-2x=3y+\frac{-38}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=\frac{604}{17}\\-x=-y+\frac{-151}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-12}{5}+x\\-3x+4y=\frac{-46}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-3y=2\\-2x-y=\frac{32}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-151}{16}+2x\\-4x-6y=\frac{-133}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+4y=\frac{13}{4}\\-6x-y=\frac{143}{16}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{16})\}\)
2. \(\left\{\begin{matrix}6y=\frac{17}{234}+x\\-2x+3y=\frac{-64}{117}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{1}{13})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-61}{285}-3x\\-x-6y=\frac{-711}{95}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{17}{15})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{19}{8}\\3x+4y=\frac{-45}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{221}{14}+5x\\3x-y=\frac{-377}{84}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-13}{12})\}\)
6. \(\left\{\begin{matrix}-y=\frac{23}{10}-4x\\-5x-6y=\frac{119}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{-9}{2})\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-19}{20}\\-6x=-3y+\frac{-51}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{-20}{13}\\-2x=3y+\frac{-38}{13}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}4x-4y=\frac{604}{17}\\-x=-y+\frac{-151}{17}\end{matrix}\right.\qquad V=\{(9,\frac{2}{17})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-12}{5}+x\\-3x+4y=\frac{-46}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}5x-3y=2\\-2x-y=\frac{32}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-4}{3})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-151}{16}+2x\\-4x-6y=\frac{-133}{8}\end{matrix}\right.\qquad V=\{(5,\frac{-9}{16})\}\)