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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{111}{2}\\4x+4y=-58\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-7}{10}\\-4x=y+\frac{-53}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{118}{9}+x\\-5x-5y=\frac{230}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+3y=\frac{167}{16}\\x-6y=\frac{-13}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-9}{2}\\-x=-5y+\frac{1}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{125}{7}\\x+2y=\frac{185}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{491}{72}-2x\\x-y=\frac{491}{144}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-251}{36}+x\\-3x-4y=\frac{55}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{45}{76}\\6x=-4y+\frac{185}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-208}{57}\\2x-5y=\frac{191}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-142}{13}\\3x+y=\frac{193}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+2y=\frac{176}{5}\\-4x=-y+\frac{-386}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{111}{2}\\4x+4y=-58\end{matrix}\right.\qquad V=\{(-14,\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-7}{10}\\-4x=y+\frac{-53}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{1}{8})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{118}{9}+x\\-5x-5y=\frac{230}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},-4)\}\)
4. \(\left\{\begin{matrix}5x+3y=\frac{167}{16}\\x-6y=\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{9}{16})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-9}{2}\\-x=-5y+\frac{1}{4}\end{matrix}\right.\qquad V=\{(1,\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{125}{7}\\x+2y=\frac{185}{28}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{491}{72}-2x\\x-y=\frac{491}{144}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{-20}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-251}{36}+x\\-3x-4y=\frac{55}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-19}{12})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{45}{76}\\6x=-4y+\frac{185}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{16}{19})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-208}{57}\\2x-5y=\frac{191}{57}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{5}{19})\}\)
11. \(\left\{\begin{matrix}-3x-2y=\frac{-142}{13}\\3x+y=\frac{193}{26}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{7}{2})\}\)
12. \(\left\{\begin{matrix}5x+2y=\frac{176}{5}\\-4x=-y+\frac{-386}{15}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{14}{15})\}\)