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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=\frac{31}{4}\\-2x=-6y+\frac{-451}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-2y=\frac{43}{6}\\x+2y=\frac{-107}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{51}{2}\\x-2y=-5\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{121}{30}\\-4x-y=\frac{287}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+2y=\frac{-521}{65}\\x=6y+\frac{393}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{-5}{2}\\6x=-6y+-9\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-484}{117}-2x\\-x-y=\frac{86}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{700}{39}-4x\\-3x+4y=\frac{-137}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-601}{140}-3x\\-2x+6y=\frac{-103}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+2y=\frac{3}{4}\\-x+4y=\frac{-91}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{184}{21}-4x\\6x-6y=\frac{74}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{-806}{51}\\6x-y=\frac{-214}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=\frac{31}{4}\\-2x=-6y+\frac{-451}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{-15}{2})\}\)
2. \(\left\{\begin{matrix}6x-2y=\frac{43}{6}\\x+2y=\frac{-107}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-13}{3})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{51}{2}\\x-2y=-5\end{matrix}\right.\qquad V=\{(-6,\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{121}{30}\\-4x-y=\frac{287}{60}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}3x+2y=\frac{-521}{65}\\x=6y+\frac{393}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-17}{13})\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{-5}{2}\\6x=-6y+-9\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-484}{117}-2x\\-x-y=\frac{86}{117}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-8}{9})\}\)
8. \(\left\{\begin{matrix}y=\frac{700}{39}-4x\\-3x+4y=\frac{-137}{13}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{8}{13})\}\)
9. \(\left\{\begin{matrix}y=\frac{-601}{140}-3x\\-2x+6y=\frac{-103}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-13}{20})\}\)
10. \(\left\{\begin{matrix}5x+2y=\frac{3}{4}\\-x+4y=\frac{-91}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{20},-1)\}\)
11. \(\left\{\begin{matrix}-y=\frac{184}{21}-4x\\6x-6y=\frac{74}{7}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{4}{7})\}\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{-806}{51}\\6x-y=\frac{-214}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{20}{3})\}\)