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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+y=-15\\4x=3y+23\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{50}{13}\\5x=4y+\frac{-84}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-8}{11}\\x+y=\frac{28}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+5y=\frac{635}{72}\\-x+6y=\frac{-95}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{821}{238}\\-2x=-2y+\frac{19}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-4y=20\\-3x=-y+-2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-101}{5}\\x=2y+\frac{199}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{3}-6x\\-x-y=\frac{-7}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{64}{5}\\-2x=-4y+\frac{4}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=\frac{20}{3}\\2x+y=\frac{11}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{672}{209}\\x=y+\frac{-196}{209}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{77}{24}+4x\\-x+3y=\frac{-11}{48}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+y=-15\\4x=3y+23\end{matrix}\right.\qquad V=\{(2,-5)\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{50}{13}\\5x=4y+\frac{-84}{13}\end{matrix}\right.\qquad V=\{(\frac{4}{13},2)\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-8}{11}\\x+y=\frac{28}{11}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{15}{11})\}\)
4. \(\left\{\begin{matrix}5x+5y=\frac{635}{72}\\-x+6y=\frac{-95}{36}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-1}{8})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{821}{238}\\-2x=-2y+\frac{19}{119}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-12}{17})\}\)
6. \(\left\{\begin{matrix}-6x-4y=20\\-3x=-y+-2\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-101}{5}\\x=2y+\frac{199}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-19}{3})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{3}-6x\\-x-y=\frac{-7}{18}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{64}{5}\\-2x=-4y+\frac{4}{5}\end{matrix}\right.\qquad V=\{(4,\frac{11}{5})\}\)
10. \(\left\{\begin{matrix}2x+4y=\frac{20}{3}\\2x+y=\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},1)\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{672}{209}\\x=y+\frac{-196}{209}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{8}{11})\}\)
12. \(\left\{\begin{matrix}6y=\frac{77}{24}+4x\\-x+3y=\frac{-11}{48}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-11}{16})\}\)