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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-5y=\frac{61}{9}\\3x=-y+\frac{85}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=1\\-5x+4y=-1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{371}{60}\\x=4y+\frac{47}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{107}{2}\\4x=-y+-8\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{195}{11}\\5x=y+\frac{147}{44}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-452}{119}+5x\\-x+3y=\frac{-223}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{7}{33}\\3x=5y+\frac{64}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-113}{6}\\-3x=y+\frac{-5}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{25}{12}\\4x=y+\frac{-5}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{13}{6}\\5x+y=\frac{-59}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{81}{4}\\x=2y+\frac{17}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-5y=\frac{130}{19}\\-x=6y+\frac{-167}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-5y=\frac{61}{9}\\3x=-y+\frac{85}{9}\end{matrix}\right.\qquad V=\{(3,\frac{4}{9})\}\)
2. \(\left\{\begin{matrix}2x-y=1\\-5x+4y=-1\end{matrix}\right.\qquad V=\{(1,1)\}\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{371}{60}\\x=4y+\frac{47}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-19}{20})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{107}{2}\\4x=-y+-8\end{matrix}\right.\qquad V=\{(\frac{1}{4},-9)\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{195}{11}\\5x=y+\frac{147}{44}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-17}{4})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-452}{119}+5x\\-x+3y=\frac{-223}{119}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-3}{7})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{7}{33}\\3x=5y+\frac{64}{33}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-5}{11})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-113}{6}\\-3x=y+\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{19}{6})\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{25}{12}\\4x=y+\frac{-5}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{7}{12})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{13}{6}\\5x+y=\frac{-59}{12}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{12})\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{81}{4}\\x=2y+\frac{17}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},-3)\}\)
12. \(\left\{\begin{matrix}2x-5y=\frac{130}{19}\\-x=6y+\frac{-167}{19}\end{matrix}\right.\qquad V=\{(5,\frac{12}{19})\}\)