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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-2y=\frac{24}{5}\\5x=-y+\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-6y=-24\\-x+2y=\frac{-1}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{59}{10}\\-4x=-y+\frac{229}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{468}{35}+3x\\-5x+y=\frac{234}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{-31}{30}\\x-2y=\frac{11}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-4y=\frac{4}{13}\\x=-y+\frac{25}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{-147}{17}\\x+y=\frac{8}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-y=\frac{537}{10}\\3x-2y=\frac{267}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-3y=\frac{-97}{112}\\5x+5y=\frac{-425}{112}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{1872}{19}-6x\\-x-3y=\frac{-268}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{-64}{3}\\-x+3y=\frac{-253}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+y=2\\6x+2y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-2y=\frac{24}{5}\\5x=-y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},1)\}\)
2. \(\left\{\begin{matrix}-6x-6y=-24\\-x+2y=\frac{-1}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{9}{7})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{59}{10}\\-4x=-y+\frac{229}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{468}{35}+3x\\-5x+y=\frac{234}{35}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-13}{5})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{-31}{30}\\x-2y=\frac{11}{30}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{-1}{4})\}\)
6. \(\left\{\begin{matrix}4x-4y=\frac{4}{13}\\x=-y+\frac{25}{13}\end{matrix}\right.\qquad V=\{(1,\frac{12}{13})\}\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{-147}{17}\\x+y=\frac{8}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{17})\}\)
8. \(\left\{\begin{matrix}3x-y=\frac{537}{10}\\3x-2y=\frac{267}{5}\end{matrix}\right.\qquad V=\{(18,\frac{3}{10})\}\)
9. \(\left\{\begin{matrix}-x-3y=\frac{-97}{112}\\5x+5y=\frac{-425}{112}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{13}{16})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{1872}{19}-6x\\-x-3y=\frac{-268}{19}\end{matrix}\right.\qquad V=\{(16,\frac{-12}{19})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{-64}{3}\\-x+3y=\frac{-253}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},-9)\}\)
12. \(\left\{\begin{matrix}3x+y=2\\6x+2y=4\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{4}{5})\}\)