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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{-4}{3}\\x+5y=\frac{-7}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+4y=\frac{-36}{91}\\-4x=-y+\frac{173}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{5}{3}\\x=-2y+\frac{-37}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{29}{5}\\-x+y=\frac{23}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{-173}{6}\\2x=6y+-37\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=19\\x-3y=\frac{41}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{413}{9}-x\\6x+4y=\frac{124}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-19}{20}\\x-3y=\frac{73}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-272}{15}\\-x+2y=\frac{-133}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-113}{2}\\x+5y=\frac{181}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{464}{39}-4x\\-3x+6y=\frac{469}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{-101}{4}\\3x=-2y+\frac{57}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{-4}{3}\\x+5y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-2x+4y=\frac{-36}{91}\\-4x=-y+\frac{173}{91}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-5}{13})\}\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{5}{3}\\x=-2y+\frac{-37}{18}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{29}{5}\\-x+y=\frac{23}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-2}{15})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{-173}{6}\\2x=6y+-37\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{10}{3})\}\)
6. \(\left\{\begin{matrix}-2x-4y=19\\x-3y=\frac{41}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-6)\}\)
7. \(\left\{\begin{matrix}5y=\frac{413}{9}-x\\6x+4y=\frac{124}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{9},9)\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-19}{20}\\x-3y=\frac{73}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-272}{15}\\-x+2y=\frac{-133}{15}\end{matrix}\right.\qquad V=\{(9,\frac{1}{15})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-113}{2}\\x+5y=\frac{181}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},18)\}\)
11. \(\left\{\begin{matrix}y=\frac{464}{39}-4x\\-3x+6y=\frac{469}{13}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{20}{3})\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{-101}{4}\\3x=-2y+\frac{57}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{9}{2})\}\)