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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-548}{133}-2x\\2x+y=\frac{-73}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-283}{21}\\-3x=y+\frac{103}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-643}{6}-3x\\x-3y=\frac{-967}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-23}{12}+3x\\2x-5y=\frac{-41}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-382}{55}+6x\\4x+6y=\frac{108}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-30}{11}\\5x-y=5\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-30}{13}+x\\-4x+4y=\frac{-100}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{-73}{21}\\x+3y=\frac{53}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+6y=\frac{705}{19}\\-x=2y+\frac{-221}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+5y=\frac{-101}{14}\\-x+y=\frac{13}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{1}{24}\\x-6y=\frac{21}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{-202}{11}\\-6x=-3y+\frac{123}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-548}{133}-2x\\2x+y=\frac{-73}{133}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{5}{7})\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-283}{21}\\-3x=y+\frac{103}{42}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{-17}{3})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-643}{6}-3x\\x-3y=\frac{-967}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{18},18)\}\)
4. \(\left\{\begin{matrix}y=\frac{-23}{12}+3x\\2x-5y=\frac{-41}{12}\end{matrix}\right.\qquad V=\{(1,\frac{13}{12})\}\)
5. \(\left\{\begin{matrix}y=\frac{-382}{55}+6x\\4x+6y=\frac{108}{55}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-2}{5})\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-30}{11}\\5x-y=5\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{20}{11})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-30}{13}+x\\-4x+4y=\frac{-100}{13}\end{matrix}\right.\qquad V=\{(2,\frac{1}{13})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{-73}{21}\\x+3y=\frac{53}{21}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{5}{9})\}\)
9. \(\left\{\begin{matrix}-3x+6y=\frac{705}{19}\\-x=2y+\frac{-221}{19}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},6)\}\)
10. \(\left\{\begin{matrix}6x+5y=\frac{-101}{14}\\-x+y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{14})\}\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{1}{24}\\x-6y=\frac{21}{16}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{-202}{11}\\-6x=-3y+\frac{123}{11}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},3)\}\)