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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=\frac{-601}{136}\\2x+6y=\frac{-521}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-14}{3}-4x\\x+6y=\frac{29}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-5}{13}-3x\\-5x-y=\frac{-76}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-y=\frac{-221}{76}\\-2x=2y+\frac{-213}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{1}{3}\\-x=y+\frac{-13}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{110}{19}\\x-2y=\frac{-41}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{4}{9}\\6x=3y+\frac{-7}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=-15-3x\\-x+5y=\frac{-53}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-177}{10}\\x+6y=\frac{-77}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-343}{60}\\-x=6y+\frac{117}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{-1007}{102}\\6x=y+\frac{2375}{306}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-9}{2}+6x\\4x+y=-2\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=\frac{-601}{136}\\2x+6y=\frac{-521}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-11}{8})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-14}{3}-4x\\x+6y=\frac{29}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{8}{9})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-5}{13}-3x\\-5x-y=\frac{-76}{13}\end{matrix}\right.\qquad V=\{(1,\frac{11}{13})\}\)
4. \(\left\{\begin{matrix}-3x-y=\frac{-221}{76}\\-2x=2y+\frac{-213}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{11}{4})\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{1}{3}\\-x=y+\frac{-13}{18}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{18})\}\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{110}{19}\\x-2y=\frac{-41}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},1)\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{4}{9}\\6x=3y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{13}{9})\}\)
8. \(\left\{\begin{matrix}6y=-15-3x\\-x+5y=\frac{-53}{2}\end{matrix}\right.\qquad V=\{(4,\frac{-9}{2})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-177}{10}\\x+6y=\frac{-77}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-343}{60}\\-x=6y+\frac{117}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-17}{12})\}\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{-1007}{102}\\6x=y+\frac{2375}{306}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-19}{18})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-9}{2}+6x\\4x+y=-2\end{matrix}\right.\qquad V=\{(\frac{-5}{4},3)\}\)