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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-6y=\frac{227}{10}\\5x+y=\frac{7}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-39}{17}\\6x+y=\frac{-69}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-7}{2}-2x\\x-2y=\frac{-5}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{-63}{11}\\-x=-y+\frac{-113}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-34}{3}+x\\3x-2y=\frac{22}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=26-6x\\-4x-2y=-4\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{1003}{42}\\x+y=\frac{-241}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-28}{65}+5x\\-5x+y=\frac{24}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{90}{7}\\x+y=\frac{-37}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=70\\-6x-4y=56\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{-286}{7}\\x=2y+\frac{-25}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{-29}{6}\\-3x-4y=\frac{-103}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-6y=\frac{227}{10}\\5x+y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-13}{3})\}\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-39}{17}\\6x+y=\frac{-69}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{17})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-7}{2}-2x\\x-2y=\frac{-5}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},1)\}\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{-63}{11}\\-x=-y+\frac{-113}{55}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-34}{3}+x\\3x-2y=\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-5}{3})\}\)
6. \(\left\{\begin{matrix}y=26-6x\\-4x-2y=-4\end{matrix}\right.\qquad V=\{(6,-10)\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{1003}{42}\\x+y=\frac{-241}{42}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{13}{14})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-28}{65}+5x\\-5x+y=\frac{24}{65}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{90}{7}\\x+y=\frac{-37}{14}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}x-4y=70\\-6x-4y=56\end{matrix}\right.\qquad V=\{(2,-17)\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{-286}{7}\\x=2y+\frac{-25}{7}\end{matrix}\right.\qquad V=\{(-6,\frac{-17}{14})\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{-29}{6}\\-3x-4y=\frac{-103}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{5}{3})\}\)