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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-25}{8}\\3x=-5y+\frac{-41}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+2y=\frac{51}{10}\\-x=5y+\frac{19}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{587}{76}\\5x=-y+\frac{-45}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-46}{17}-2x\\-x-5y=\frac{83}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=\frac{1147}{136}\\x-y=\frac{507}{272}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-62}{5}\\-x+y=\frac{-17}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{142}{9}\\-x=-2y+\frac{-37}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+6y=\frac{-57}{13}\\-x+5y=\frac{-28}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+5y=\frac{-96}{11}\\-6x=y+\frac{57}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{-182}{5}\\-x-6y=\frac{-203}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{835}{38}-5x\\x+2y=\frac{-116}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-4y=2\\-4x=-y+-8\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-25}{8}\\3x=-5y+\frac{-41}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}6x+2y=\frac{51}{10}\\-x=5y+\frac{19}{60}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{587}{76}\\5x=-y+\frac{-45}{76}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-46}{17}-2x\\-x-5y=\frac{83}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-20}{17})\}\)
5. \(\left\{\begin{matrix}2x-6y=\frac{1147}{136}\\x-y=\frac{507}{272}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-20}{17})\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-62}{5}\\-x+y=\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-4)\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{142}{9}\\-x=-2y+\frac{-37}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},-3)\}\)
8. \(\left\{\begin{matrix}-3x+6y=\frac{-57}{13}\\-x+5y=\frac{-28}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{13})\}\)
9. \(\left\{\begin{matrix}3x+5y=\frac{-96}{11}\\-6x=y+\frac{57}{11}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-15}{11})\}\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{-182}{5}\\-x-6y=\frac{-203}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},7)\}\)
11. \(\left\{\begin{matrix}-5y=\frac{835}{38}-5x\\x+2y=\frac{-116}{19}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{-7}{2})\}\)
12. \(\left\{\begin{matrix}-4x-4y=2\\-4x=-y+-8\end{matrix}\right.\qquad V=\{(\frac{3}{2},-2)\}\)