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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{664}{105}\\3x-y=\frac{-359}{105}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{61}{10}+2x\\3x+y=\frac{-127}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{339}{119}\\x=-3y+\frac{-375}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-348}{209}\\-5x-y=\frac{1218}{209}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-27}{5}+4x\\-3x+5y=\frac{-3}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-y=\frac{7}{3}\\-3x-2y=\frac{26}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-6y=\frac{17}{5}\\x+3y=\frac{-31}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=14+x\\2x-4y=8\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{335}{187}-x\\5x+5y=\frac{685}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-4y=\frac{82}{51}\\-x=4y+\frac{-1018}{255}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-4y=\frac{-99}{68}\\-x-3y=\frac{-89}{272}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-50}{3}-4x\\-x-5y=15\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{664}{105}\\3x-y=\frac{-359}{105}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-13}{15})\}\)
2. \(\left\{\begin{matrix}4y=\frac{61}{10}+2x\\3x+y=\frac{-127}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{339}{119}\\x=-3y+\frac{-375}{119}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-13}{17})\}\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-348}{209}\\-5x-y=\frac{1218}{209}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-12}{11})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-27}{5}+4x\\-3x+5y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}-3x-y=\frac{7}{3}\\-3x-2y=\frac{26}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-19}{3})\}\)
7. \(\left\{\begin{matrix}5x-6y=\frac{17}{5}\\x+3y=\frac{-31}{10}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-9}{10})\}\)
8. \(\left\{\begin{matrix}-y=14+x\\2x-4y=8\end{matrix}\right.\qquad V=\{(-8,-6)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{335}{187}-x\\5x+5y=\frac{685}{187}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-3}{17})\}\)
10. \(\left\{\begin{matrix}5x-4y=\frac{82}{51}\\-x=4y+\frac{-1018}{255}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{13}{17})\}\)
11. \(\left\{\begin{matrix}3x-4y=\frac{-99}{68}\\-x-3y=\frac{-89}{272}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{3}{16})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-50}{3}-4x\\-x-5y=15\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-5}{3})\}\)