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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+6y=\frac{14}{9}\\3x-y=\frac{-11}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-46}{63}\\6x-4y=\frac{-106}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-279}{95}\\-4x-y=\frac{299}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-4y=2\\-x=-y+\frac{-1}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{3}{5}+2x\\-x-y=\frac{7}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{223}{13}\\2x=y+\frac{-277}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{454}{33}\\3x=y+\frac{131}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-16}{3}-6x\\-x-6y=\frac{229}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-332}{119}-4x\\x+3y=\frac{682}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+y=\frac{-449}{9}\\5x-2y=\frac{448}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{-24}{65}\\-x=4y+\frac{-51}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-2y=-5\\x-3y=-11\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+6y=\frac{14}{9}\\3x-y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},1)\}\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-46}{63}\\6x-4y=\frac{-106}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{3}{7})\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-279}{95}\\-4x-y=\frac{299}{95}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{1}{19})\}\)
4. \(\left\{\begin{matrix}4x-4y=2\\-x=-y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}6y=\frac{3}{5}+2x\\-x-y=\frac{7}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-1}{10})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{223}{13}\\2x=y+\frac{-277}{39}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{13}{3})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{454}{33}\\3x=y+\frac{131}{99}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{20}{9})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-16}{3}-6x\\-x-6y=\frac{229}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-13}{3})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-332}{119}-4x\\x+3y=\frac{682}{119}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{12}{7})\}\)
10. \(\left\{\begin{matrix}-5x+y=\frac{-449}{9}\\5x-2y=\frac{448}{9}\end{matrix}\right.\qquad V=\{(10,\frac{1}{9})\}\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{-24}{65}\\-x=4y+\frac{-51}{65}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{1}{10})\}\)
12. \(\left\{\begin{matrix}-4x-2y=-5\\x-3y=-11\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{2})\}\)