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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-2y=-19\\-2x-5y=-40\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-4y=\frac{47}{3}\\-6x=y+\frac{-55}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{-309}{4}\\-6x=4y+\frac{147}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{53}{5}-4x\\-x-4y=\frac{41}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-129}{7}-3x\\3x-y=\frac{-93}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-28}{13}\\3x+3y=\frac{84}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{775}{153}\\-x+y=\frac{127}{306}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+6y=\frac{-51}{2}\\-x=y+\frac{41}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{17}{2}\\-x+2y=\frac{29}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=\frac{183}{14}\\-5x-y=\frac{-81}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-862}{117}\\x=-3y+\frac{512}{117}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=1\\-3x=y+\frac{-19}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-2y=-19\\-2x-5y=-40\end{matrix}\right.\qquad V=\{(15,2)\}\)
2. \(\left\{\begin{matrix}5x-4y=\frac{47}{3}\\-6x=y+\frac{-55}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{-309}{4}\\-6x=4y+\frac{147}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},-15)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{53}{5}-4x\\-x-4y=\frac{41}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-129}{7}-3x\\3x-y=\frac{-93}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{-12}{7})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-28}{13}\\3x+3y=\frac{84}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},1)\}\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{775}{153}\\-x+y=\frac{127}{306}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-9}{17})\}\)
8. \(\left\{\begin{matrix}2x+6y=\frac{-51}{2}\\-x=y+\frac{41}{4}\end{matrix}\right.\qquad V=\{(-9,\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{17}{2}\\-x+2y=\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{7}{2})\}\)
10. \(\left\{\begin{matrix}5x-5y=\frac{183}{14}\\-5x-y=\frac{-81}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-17}{14})\}\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-862}{117}\\x=-3y+\frac{512}{117}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{18}{13})\}\)
12. \(\left\{\begin{matrix}5x+4y=1\\-3x=y+\frac{-19}{20}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-1}{4})\}\)