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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-y=\frac{-17}{3}\\-5x=3y+\frac{1}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-2y=13\\5x=y+\frac{-73}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-y=-6\\-2x+6y=23\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-62}{15}+x\\-4x-6y=\frac{-122}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{-14}{3}\\3x+2y=\frac{-8}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{45}\\-5x-y=\frac{-97}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-5y=\frac{44}{15}\\-x=5y+\frac{-143}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{317}{12}+5x\\-5x-y=\frac{89}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-269}{80}-x\\6x+5y=\frac{29}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{22}{3}+5x\\x+2y=\frac{158}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-87}{10}\\5x=-5y+\frac{71}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+2y=\frac{381}{70}\\-3x=-y+\frac{-519}{140}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-y=\frac{-17}{3}\\-5x=3y+\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{6})\}\)
2. \(\left\{\begin{matrix}-6x-2y=13\\5x=y+\frac{-73}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-4x-y=-6\\-2x+6y=23\end{matrix}\right.\qquad V=\{(\frac{1}{2},4)\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-62}{15}+x\\-4x-6y=\frac{-122}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{7}{15})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{-14}{3}\\3x+2y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{45}\\-5x-y=\frac{-97}{9}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{16}{9})\}\)
7. \(\left\{\begin{matrix}6x-5y=\frac{44}{15}\\-x=5y+\frac{-143}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{11}{15})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{317}{12}+5x\\-5x-y=\frac{89}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-19}{2})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-269}{80}-x\\6x+5y=\frac{29}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{7}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{22}{3}+5x\\x+2y=\frac{158}{45}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{14}{9})\}\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-87}{10}\\5x=-5y+\frac{71}{6}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-4}{5})\}\)
12. \(\left\{\begin{matrix}4x+2y=\frac{381}{70}\\-3x=-y+\frac{-519}{140}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{3}{20})\}\)