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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{29}{9}\\4x=5y+\frac{82}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-136}{15}\\-x-5y=\frac{-556}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-5y=\frac{259}{80}\\x-y=\frac{-121}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-103}{13}\\-x+y=\frac{-145}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-72}{13}-2x\\x-6y=\frac{-112}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-371}{51}\\-2x=-3y+\frac{-8}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{19}{4}\\-x+3y=\frac{-13}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{6}{5}\\-x=-y+\frac{-3}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{25}{8}\\x+6y=\frac{51}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+2y=\frac{-67}{36}\\-x-4y=\frac{32}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{79}{8}\\x=-3y+\frac{113}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{83}{28}\\4x=-2y+\frac{10}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{29}{9}\\4x=5y+\frac{82}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-20}{9})\}\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-136}{15}\\-x-5y=\frac{-556}{45}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{19}{9})\}\)
3. \(\left\{\begin{matrix}-4x-5y=\frac{259}{80}\\x-y=\frac{-121}{80}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{5}{16})\}\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-103}{13}\\-x+y=\frac{-145}{52}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-7}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-72}{13}-2x\\x-6y=\frac{-112}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{19}{13})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-371}{51}\\-2x=-3y+\frac{-8}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{18}{17})\}\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{19}{4}\\-x+3y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{6}{5}\\-x=-y+\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{25}{8}\\x+6y=\frac{51}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},1)\}\)
10. \(\left\{\begin{matrix}2x+2y=\frac{-67}{36}\\-x-4y=\frac{32}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-7}{8})\}\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{79}{8}\\x=-3y+\frac{113}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},2)\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{83}{28}\\4x=-2y+\frac{10}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-11}{14})\}\)