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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-101}{10}+6x\\x+5y=\frac{-31}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{-189}{44}\\-2x+3y=\frac{-487}{44}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-1}{4}\\3x=-y+\frac{21}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-91}{12}-5x\\x-5y=\frac{-313}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=\frac{11}{4}\\-x=6y+-4\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{594}{323}+4x\\6x-y=\frac{572}{323}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-3y=\frac{19}{4}\\x-y=\frac{5}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-3y=\frac{-76}{5}\\-x-y=\frac{-88}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{797}{77}+5x\\x+6y=\frac{-331}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{430}{51}\\-5x+y=\frac{65}{51}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{31}{12}\\6x=-6y+\frac{-17}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=-1-6x\\-x-y=\frac{1}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-101}{10}+6x\\x+5y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-16}{15})\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{-189}{44}\\-2x+3y=\frac{-487}{44}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-15}{4})\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-1}{4}\\3x=-y+\frac{21}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-91}{12}-5x\\x-5y=\frac{-313}{36}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{17}{9})\}\)
5. \(\left\{\begin{matrix}6x+2y=\frac{11}{4}\\-x=6y+-4\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{594}{323}+4x\\6x-y=\frac{572}{323}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{-14}{17})\}\)
7. \(\left\{\begin{matrix}5x-3y=\frac{19}{4}\\x-y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}-6x-3y=\frac{-76}{5}\\-x-y=\frac{-88}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{20}{3})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{797}{77}+5x\\x+6y=\frac{-331}{77}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-3}{7})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{430}{51}\\-5x+y=\frac{65}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{31}{12}\\6x=-6y+\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}5y=-1-6x\\-x-y=\frac{1}{16}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{5}{8})\}\)