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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-55}{2}-5x\\-3x+y=\frac{37}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{-145}{6}\\-2x+y=\frac{247}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-y=\frac{43}{6}\\-3x=3y+\frac{-19}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{14}{9}\\5x=y+\frac{-31}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{81}{8}\\-3x=-y+\frac{127}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-124}{65}-2x\\x-4y=\frac{-202}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{391}{15}+2x\\3x+y=\frac{227}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{134}{7}\\-x=-3y+\frac{51}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=-18\\-x=-3y+\frac{169}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{1}{3}+5x\\5x-y=\frac{-11}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{67}{144}\\x=-y+\frac{-65}{144}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-6y=\frac{-232}{85}\\-x=5y+\frac{-109}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-55}{2}-5x\\-3x+y=\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{13}{2})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{-145}{6}\\-2x+y=\frac{247}{30}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-11}{10})\}\)
3. \(\left\{\begin{matrix}6x-y=\frac{43}{6}\\-3x=3y+\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{1}{3})\}\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{14}{9}\\5x=y+\frac{-31}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},-1)\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{81}{8}\\-3x=-y+\frac{127}{16}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{7}{16})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-124}{65}-2x\\x-4y=\frac{-202}{65}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{14}{13})\}\)
7. \(\left\{\begin{matrix}4y=\frac{391}{15}+2x\\3x+y=\frac{227}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{20}{3})\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{134}{7}\\-x=-3y+\frac{51}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{10}{7})\}\)
9. \(\left\{\begin{matrix}6x-4y=-18\\-x=-3y+\frac{169}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{19}{4})\}\)
10. \(\left\{\begin{matrix}2y=\frac{1}{3}+5x\\5x-y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{67}{144}\\x=-y+\frac{-65}{144}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{-7}{18})\}\)
12. \(\left\{\begin{matrix}-5x-6y=\frac{-232}{85}\\-x=5y+\frac{-109}{34}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{7}{10})\}\)