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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{1}{2}-3x\\-3x-y=\frac{3}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-32}{5}-6x\\4x+y=\frac{-3}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-65}{22}-3x\\6x+3y=\frac{-81}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{124}{3}\\x=5y+\frac{26}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{601}{55}-5x\\6x-y=\frac{-271}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-386}{17}\\-x=5y+\frac{157}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{361}{18}\\3x-y=\frac{23}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-639}{52}+2x\\-x+6y=\frac{669}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+6y=\frac{11}{8}\\4x=y+\frac{493}{48}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-26}{3}\\x-y=\frac{5}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+4y=\frac{47}{55}\\3x=4y+\frac{53}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+4y=\frac{251}{12}\\-x-4y=\frac{-233}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{1}{2}-3x\\-3x-y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-32}{5}-6x\\4x+y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},1)\}\)
3. \(\left\{\begin{matrix}y=\frac{-65}{22}-3x\\6x+3y=\frac{-81}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-16}{11})\}\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{124}{3}\\x=5y+\frac{26}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-8}{3})\}\)
5. \(\left\{\begin{matrix}6y=\frac{601}{55}-5x\\6x-y=\frac{-271}{55}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{11}{5})\}\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-386}{17}\\-x=5y+\frac{157}{17}\end{matrix}\right.\qquad V=\{(-11,\frac{6}{17})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{361}{18}\\3x-y=\frac{23}{6}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{-15}{2})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-639}{52}+2x\\-x+6y=\frac{669}{26}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{17}{4})\}\)
9. \(\left\{\begin{matrix}3x+6y=\frac{11}{8}\\4x=y+\frac{493}{48}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-15}{16})\}\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-26}{3}\\x-y=\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-4}{3})\}\)
11. \(\left\{\begin{matrix}x+4y=\frac{47}{55}\\3x=4y+\frac{53}{55}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{1}{10})\}\)
12. \(\left\{\begin{matrix}3x+4y=\frac{251}{12}\\-x-4y=\frac{-233}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{14}{3})\}\)