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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{146}{65}-6x\\-x-2y=\frac{279}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{457}{7}-5x\\-4x+3y=\frac{-358}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-80}{117}+5x\\6x-y=\frac{89}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-206}{7}\\x+4y=\frac{-131}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+6y=\frac{-81}{4}\\x+y=\frac{-35}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{-288}{11}\\-x=-y+\frac{-38}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{35}{6}+4x\\3x-4y=-6\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{375}{104}+6x\\x-4y=\frac{883}{208}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+y=\frac{41}{30}\\-4x=-2y+\frac{-22}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{11}{68}\\x+5y=\frac{63}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-3y=\frac{7}{4}\\-5x=3y+\frac{-11}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-37}{3}\\4x=-y+-6\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{146}{65}-6x\\-x-2y=\frac{279}{65}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-14}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{457}{7}-5x\\-4x+3y=\frac{-358}{7}\end{matrix}\right.\qquad V=\{(13,\frac{2}{7})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-80}{117}+5x\\6x-y=\frac{89}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{5}{13})\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-206}{7}\\x+4y=\frac{-131}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},-4)\}\)
5. \(\left\{\begin{matrix}3x+6y=\frac{-81}{4}\\x+y=\frac{-35}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{8})\}\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{-288}{11}\\-x=-y+\frac{-38}{11}\end{matrix}\right.\qquad V=\{(4,\frac{6}{11})\}\)
7. \(\left\{\begin{matrix}y=\frac{35}{6}+4x\\3x-4y=-6\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{375}{104}+6x\\x-4y=\frac{883}{208}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{-14}{13})\}\)
9. \(\left\{\begin{matrix}x+y=\frac{41}{30}\\-4x=-2y+\frac{-22}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{11}{68}\\x+5y=\frac{63}{136}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{2}{17})\}\)
11. \(\left\{\begin{matrix}x-3y=\frac{7}{4}\\-5x=3y+\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-37}{3}\\4x=-y+-6\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{2}{3})\}\)