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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-5y=\frac{53}{11}\\-4x=-y+\frac{29}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+5y=\frac{480}{11}\\3x=-y+\frac{294}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-4}{7}-5x\\6x+5y=\frac{-117}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{61}{2}-6x\\-x-3y=\frac{59}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{-39}{4}\\5x=6y+\frac{-51}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-192}{11}\\x=-4y+\frac{166}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{27}{5}\\x=6y+\frac{67}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{19}{5}\\4x=-6y+\frac{104}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+2y=\frac{16}{21}\\3x=-3y+\frac{121}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{8}{3}\\x-6y=\frac{-136}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-72}{13}-3x\\2x-y=\frac{33}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=5+5x\\2x-y=-4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-5y=\frac{53}{11}\\-4x=-y+\frac{29}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-15}{11})\}\)
2. \(\left\{\begin{matrix}5x+5y=\frac{480}{11}\\3x=-y+\frac{294}{11}\end{matrix}\right.\qquad V=\{(9,\frac{-3}{11})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-4}{7}-5x\\6x+5y=\frac{-117}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-3}{7})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{61}{2}-6x\\-x-3y=\frac{59}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-13}{4})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{-39}{4}\\5x=6y+\frac{-51}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-192}{11}\\x=-4y+\frac{166}{11}\end{matrix}\right.\qquad V=\{(10,\frac{14}{11})\}\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{27}{5}\\x=6y+\frac{67}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-19}{10})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{19}{5}\\4x=-6y+\frac{104}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{5},2)\}\)
9. \(\left\{\begin{matrix}-x+2y=\frac{16}{21}\\3x=-3y+\frac{121}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{17}{14})\}\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{8}{3}\\x-6y=\frac{-136}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{8}{5})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-72}{13}-3x\\2x-y=\frac{33}{65}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{9}{5})\}\)
12. \(\left\{\begin{matrix}5y=5+5x\\2x-y=-4\end{matrix}\right.\qquad V=\{(-3,-2)\}\)