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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{-17}{7}\\x+6y=\frac{36}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{107}{24}\\6x=-6y+\frac{161}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{49}{8}+x\\-4x+2y=\frac{-3}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=12\\6x=-y+\frac{-44}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-25}{11}\\-x+3y=\frac{-29}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{-573}{14}\\3x=-6y+\frac{711}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{48}{7}\\6x=-y+\frac{129}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-361}{21}-2x\\x+3y=\frac{-221}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-23}{10}-3x\\-x+5y=\frac{83}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{61}{26}\\-2x=y+\frac{131}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{22}{7}\\-6x-4y=\frac{-64}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-11}{2}+6x\\4x-4y=6\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{-17}{7}\\x+6y=\frac{36}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},1)\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{107}{24}\\6x=-6y+\frac{161}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{19}{3})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{49}{8}+x\\-4x+2y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},-1)\}\)
4. \(\left\{\begin{matrix}-5x-2y=12\\6x=-y+\frac{-44}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-4)\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-25}{11}\\-x+3y=\frac{-29}{22}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{-573}{14}\\3x=-6y+\frac{711}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{14},8)\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{48}{7}\\6x=-y+\frac{129}{7}\end{matrix}\right.\qquad V=\{(3,\frac{3}{7})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-361}{21}-2x\\x+3y=\frac{-221}{21}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-9}{7})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-23}{10}-3x\\-x+5y=\frac{83}{30}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{61}{26}\\-2x=y+\frac{131}{26}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-7}{13})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{22}{7}\\-6x-4y=\frac{-64}{7}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-2}{7})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-11}{2}+6x\\4x-4y=6\end{matrix}\right.\qquad V=\{(1,\frac{-1}{2})\}\)