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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+y=\frac{-34}{5}\\-2x-2y=\frac{-28}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=\frac{-403}{140}\\-4x-2y=\frac{659}{70}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+y=\frac{-109}{10}\\2x=2y+\frac{109}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-3y=\frac{-121}{38}\\-x+4y=\frac{46}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-43}{2}\\-6x+6y=-99\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{247}{17}+5x\\-x-y=\frac{47}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-1}{2}+5x\\-x-6y=\frac{7}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{7}{5}+3x\\-x-5y=\frac{73}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{477}{28}\\-x=-4y+\frac{102}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{53}{7}+6x\\x-3y=\frac{43}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-139}{20}\\-x+y=\frac{29}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{-923}{36}\\-3x=y+\frac{-91}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+y=\frac{-34}{5}\\-2x-2y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}x-3y=\frac{-403}{140}\\-4x-2y=\frac{659}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{3}{20})\}\)
3. \(\left\{\begin{matrix}-x+y=\frac{-109}{10}\\2x=2y+\frac{109}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}4x-3y=\frac{-121}{38}\\-x+4y=\frac{46}{19}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-43}{2}\\-6x+6y=-99\end{matrix}\right.\qquad V=\{(\frac{5}{2},-14)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{247}{17}+5x\\-x-y=\frac{47}{17}\end{matrix}\right.\qquad V=\{(-3,\frac{4}{17})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-1}{2}+5x\\-x-6y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{7}{5}+3x\\-x-5y=\frac{73}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-6}{5})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{477}{28}\\-x=-4y+\frac{102}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{15}{4})\}\)
10. \(\left\{\begin{matrix}4y=\frac{53}{7}+6x\\x-3y=\frac{43}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-13}{7})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-139}{20}\\-x+y=\frac{29}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{7}{4})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{-923}{36}\\-3x=y+\frac{-91}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{19}{4})\}\)