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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+6y=\frac{4}{3}\\3x-y=\frac{59}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-207}{4}+3x\\4x+5y=\frac{257}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-17}{2}\\x=-y+\frac{13}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-11}{2}\\-x+y=\frac{-19}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=3\\-x=6y+\frac{-9}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{11}{2}\\-x-6y=\frac{-55}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-487}{65}\\x+y=\frac{176}{195}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{200}{9}+5x\\x+y=\frac{-133}{36}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-y=\frac{-590}{21}\\-6x-5y=\frac{174}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-145}{6}+6x\\-3x-y=\frac{-131}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-6y=\frac{435}{28}\\2x=y+\frac{73}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-47}{4}-6x\\6x+y=\frac{-43}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+6y=\frac{4}{3}\\3x-y=\frac{59}{18}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{18})\}\)
2. \(\left\{\begin{matrix}y=\frac{-207}{4}+3x\\4x+5y=\frac{257}{4}\end{matrix}\right.\qquad V=\{(17,\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-17}{2}\\x=-y+\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{9}{2})\}\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-11}{2}\\-x+y=\frac{-19}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}2x+6y=3\\-x=6y+\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},1)\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{11}{2}\\-x-6y=\frac{-55}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{4})\}\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-487}{65}\\x+y=\frac{176}{195}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-3}{13})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{200}{9}+5x\\x+y=\frac{-133}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-15}{4})\}\)
9. \(\left\{\begin{matrix}5x-y=\frac{-590}{21}\\-6x-5y=\frac{174}{7}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{10}{7})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-145}{6}+6x\\-3x-y=\frac{-131}{12}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}5x-6y=\frac{435}{28}\\2x=y+\frac{73}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-5}{7})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-47}{4}-6x\\6x+y=\frac{-43}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},-1)\}\)