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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-3y=\frac{850}{133}\\-5x+y=\frac{90}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{46}{45}\\-5x+3y=\frac{-8}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-29}{10}-x\\2x-6y=\frac{-27}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{309}{65}\\x=-y+\frac{-53}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-6y=14\\x=4y+\frac{119}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-20}{3}-2x\\-4x+y=\frac{-104}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=31+5x\\4x+y=17\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{152}{15}-6x\\2x-6y=\frac{49}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{-127}{70}\\-4x=-3y+\frac{-269}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+6y=\frac{20}{3}\\-6x=-6y+20\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{113}{15}-3x\\3x-y=\frac{38}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{61}{20}-x\\-4x-3y=\frac{43}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-3y=\frac{850}{133}\\-5x+y=\frac{90}{133}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-10}{7})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{46}{45}\\-5x+3y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-2}{9})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-29}{10}-x\\2x-6y=\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{1}{15})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{309}{65}\\x=-y+\frac{-53}{65}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{5}{13})\}\)
5. \(\left\{\begin{matrix}5x-6y=14\\x=4y+\frac{119}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-11}{6})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-20}{3}-2x\\-4x+y=\frac{-104}{3}\end{matrix}\right.\qquad V=\{(10,\frac{16}{3})\}\)
7. \(\left\{\begin{matrix}-6y=31+5x\\4x+y=17\end{matrix}\right.\qquad V=\{(7,-11)\}\)
8. \(\left\{\begin{matrix}-y=\frac{152}{15}-6x\\2x-6y=\frac{49}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-17}{15})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{-127}{70}\\-4x=-3y+\frac{-269}{70}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{14})\}\)
10. \(\left\{\begin{matrix}-x+6y=\frac{20}{3}\\-6x=-6y+20\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}2y=\frac{113}{15}-3x\\3x-y=\frac{38}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{61}{20}-x\\-4x-3y=\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-11}{10})\}\)