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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=22-2x\\x+3y=\frac{51}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-y=\frac{-19}{42}\\5x=3y+\frac{425}{84}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+6y=\frac{279}{10}\\-x+6y=\frac{143}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{-337}{15}\\x=-3y+\frac{-256}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-6y=\frac{-313}{60}\\-x=-5y+\frac{49}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{53}{10}+3x\\-x+2y=\frac{-97}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=-11\\-x=4y+\frac{-17}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-45}{2}-6x\\-x+2y=\frac{85}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-173}{14}+2x\\2x+y=\frac{85}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{4}{3}\\-6x+6y=-8\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-135}{7}-6x\\x+y=\frac{25}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{842}{15}-2x\\-3x-y=\frac{29}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=22-2x\\x+3y=\frac{51}{5}\end{matrix}\right.\qquad V=\{(15,\frac{-8}{5})\}\)
2. \(\left\{\begin{matrix}-2x-y=\frac{-19}{42}\\5x=3y+\frac{425}{84}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-5}{7})\}\)
3. \(\left\{\begin{matrix}6x+6y=\frac{279}{10}\\-x+6y=\frac{143}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{19}{4})\}\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{-337}{15}\\x=-3y+\frac{-256}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-17}{3})\}\)
5. \(\left\{\begin{matrix}5x-6y=\frac{-313}{60}\\-x=-5y+\frac{49}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{53}{10}+3x\\-x+2y=\frac{-97}{90}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-16}{15})\}\)
7. \(\left\{\begin{matrix}-6x-4y=-11\\-x=4y+\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},2)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-45}{2}-6x\\-x+2y=\frac{85}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{10}{3})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-173}{14}+2x\\2x+y=\frac{85}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{11}{7})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{4}{3}\\-6x+6y=-8\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-135}{7}-6x\\x+y=\frac{25}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},3)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{842}{15}-2x\\-3x-y=\frac{29}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{15},-9)\}\)