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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-2y=\frac{41}{5}\\-6x+y=\frac{-53}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-y=\frac{116}{13}\\-4x-6y=\frac{-24}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{227}{38}\\3x-y=\frac{-141}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-3}{14}\\4x=-y+\frac{319}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-25}{12}+5x\\x+y=\frac{-1}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-102}{13}-4x\\3x+y=\frac{-77}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{36}{55}+2x\\5x-6y=\frac{-69}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-105}{8}\\4x=2y+\frac{-3}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{-302}{19}\\-6x=-4y+\frac{-644}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-107}{13}+4x\\x-2y=\frac{157}{52}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-458}{95}\\-x+y=\frac{-191}{285}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=6+2x\\x-2y=-2\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-2y=\frac{41}{5}\\-6x+y=\frac{-53}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-7}{2})\}\)
2. \(\left\{\begin{matrix}6x-y=\frac{116}{13}\\-4x-6y=\frac{-24}{13}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-8}{13})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{227}{38}\\3x-y=\frac{-141}{38}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{3}{2})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-3}{14}\\4x=-y+\frac{319}{28}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-25}{12}+5x\\x+y=\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-5}{4})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-102}{13}-4x\\3x+y=\frac{-77}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{1}{13})\}\)
7. \(\left\{\begin{matrix}-y=\frac{36}{55}+2x\\5x-6y=\frac{-69}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{6}{11})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-105}{8}\\4x=2y+\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{8},3)\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{-302}{19}\\-6x=-4y+\frac{-644}{57}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-8}{3})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-107}{13}+4x\\x-2y=\frac{157}{52}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-5}{13})\}\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-458}{95}\\-x+y=\frac{-191}{285}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-14}{19})\}\)
12. \(\left\{\begin{matrix}-2y=6+2x\\x-2y=-2\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-1}{3})\}\)