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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-1002}{77}-3x\\-x+3y=\frac{-326}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-570}{77}+3x\\3x-y=\frac{150}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=5+3x\\-x+4y=7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-131}{8}-3x\\x-6y=\frac{107}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-2y=\frac{-221}{77}\\-5x-6y=\frac{-215}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-111}{10}-4x\\4x-6y=\frac{-143}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-4y=\frac{4}{117}\\-4x=-y+\frac{-1199}{234}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=1\\-x=6y+\frac{21}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{353}{34}\\x=-5y+\frac{-1645}{102}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=25+3x\\-x+5y=\frac{-230}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{416}{15}\\-4x=y+\frac{-82}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-51}{14}-x\\-5x-5y=\frac{45}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-1002}{77}-3x\\-x+3y=\frac{-326}{77}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-12}{7})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-570}{77}+3x\\3x-y=\frac{150}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-12}{11})\}\)
3. \(\left\{\begin{matrix}4y=5+3x\\-x+4y=7\end{matrix}\right.\qquad V=\{(1,2)\}\)
4. \(\left\{\begin{matrix}5y=\frac{-131}{8}-3x\\x-6y=\frac{107}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-15}{8})\}\)
5. \(\left\{\begin{matrix}x-2y=\frac{-221}{77}\\-5x-6y=\frac{-215}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{15}{14})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-111}{10}-4x\\4x-6y=\frac{-143}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{7}{2})\}\)
7. \(\left\{\begin{matrix}2x-4y=\frac{4}{117}\\-4x=-y+\frac{-1199}{234}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{13}{18})\}\)
8. \(\left\{\begin{matrix}-4x-4y=1\\-x=6y+\frac{21}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-1)\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{353}{34}\\x=-5y+\frac{-1645}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{-19}{6})\}\)
10. \(\left\{\begin{matrix}-2y=25+3x\\-x+5y=\frac{-230}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},-15)\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{416}{15}\\-4x=y+\frac{-82}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},10)\}\)
12. \(\left\{\begin{matrix}-y=\frac{-51}{14}-x\\-5x-5y=\frac{45}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{3}{2})\}\)