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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{-311}{17}\\x+y=\frac{-65}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{-67}{8}\\-3x+2y=\frac{27}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-343}{57}+2x\\-6x-y=\frac{-119}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-279}{7}\\-x=-6y+\frac{90}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+y=\frac{116}{15}\\-4x=5y+\frac{-29}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{21}{2}-3x\\-6x-2y=-21\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{51}{38}-x\\2x-6y=\frac{-111}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{13}{9}+x\\-6x+6y=\frac{-74}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-33}{5}-3x\\2x+y=\frac{-13}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{5}{9}+2x\\-x-y=\frac{5}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-167}{45}-x\\2x-4y=\frac{-238}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-45}{2}-6x\\x-2y=\frac{-25}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{-311}{17}\\x+y=\frac{-65}{17}\end{matrix}\right.\qquad V=\{(-3,\frac{-14}{17})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{-67}{8}\\-3x+2y=\frac{27}{4}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{8})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-343}{57}+2x\\-6x-y=\frac{-119}{19}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-14}{19})\}\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-279}{7}\\-x=-6y+\frac{90}{7}\end{matrix}\right.\qquad V=\{(-9,\frac{9}{14})\}\)
5. \(\left\{\begin{matrix}-5x+y=\frac{116}{15}\\-4x=5y+\frac{-29}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{19}{10})\}\)
6. \(\left\{\begin{matrix}y=\frac{21}{2}-3x\\-6x-2y=-21\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}6y=\frac{51}{38}-x\\2x-6y=\frac{-111}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{9}{19})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{13}{9}+x\\-6x+6y=\frac{-74}{3}\end{matrix}\right.\qquad V=\{(3,\frac{-10}{9})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-33}{5}-3x\\2x+y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{5}{9}+2x\\-x-y=\frac{5}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-167}{45}-x\\2x-4y=\frac{-238}{45}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{4}{15})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-45}{2}-6x\\x-2y=\frac{-25}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{15}{8})\}\)