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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-187}{57}-5x\\-6x-y=\frac{251}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-22}{3}+4x\\6x+4y=\frac{161}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{52}{3}+5x\\-5x-y=\frac{41}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+6y=-21\\5x-6y=37\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{213}{28}-3x\\2x+y=\frac{-131}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-38}{21}-4x\\-x+6y=\frac{-19}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-3y=\frac{-31}{13}\\-3x-y=\frac{-19}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{11}{9}-2x\\-2x-2y=\frac{-5}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{880}{119}\\-4x-y=\frac{1200}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{55}{6}+x\\-3x+6y=\frac{-9}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-224}{15}+6x\\x+y=\frac{82}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+2y=50\\-2x+y=5\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-187}{57}-5x\\-6x-y=\frac{251}{57}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-22}{3}+4x\\6x+4y=\frac{161}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{19}{3})\}\)
3. \(\left\{\begin{matrix}6y=\frac{52}{3}+5x\\-5x-y=\frac{41}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{3}{2})\}\)
4. \(\left\{\begin{matrix}-x+6y=-21\\5x-6y=37\end{matrix}\right.\qquad V=\{(4,\frac{-17}{6})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{213}{28}-3x\\2x+y=\frac{-131}{28}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-13}{4})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-38}{21}-4x\\-x+6y=\frac{-19}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}4x-3y=\frac{-31}{13}\\-3x-y=\frac{-19}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},1)\}\)
8. \(\left\{\begin{matrix}-y=\frac{11}{9}-2x\\-2x-2y=\frac{-5}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-2}{9})\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{880}{119}\\-4x-y=\frac{1200}{119}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{-16}{17})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{55}{6}+x\\-3x+6y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-4}{3})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-224}{15}+6x\\x+y=\frac{82}{45}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}6x+2y=50\\-2x+y=5\end{matrix}\right.\qquad V=\{(4,13)\}\)