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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=\frac{111}{10}\\-4x+6y=\frac{-267}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+2y=\frac{74}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=-26-4x\\2x-y=\frac{-25}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{26}{5}\\3x+y=\frac{6}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-107}{11}-6x\\-6x-y=\frac{127}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-387}{70}\\-x=-6y+\frac{127}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-549}{22}\\-6x=y+\frac{-449}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+y=\frac{75}{4}\\-2x+3y=\frac{-15}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{237}{20}\\-x=5y+\frac{13}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{11}{5}\\x-6y=\frac{7}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-232}{51}\\2x=-y+\frac{316}{153}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{-200}{9}\\2x=3y+-10\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=\frac{111}{10}\\-4x+6y=\frac{-267}{5}\end{matrix}\right.\qquad V=\{(12,\frac{-9}{10})\}\)
2. \(\left\{\begin{matrix}3x+2y=\frac{74}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\qquad V=\{(4,\frac{7}{5})\}\)
3. \(\left\{\begin{matrix}-5y=-26-4x\\2x-y=\frac{-25}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{9}{2})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{26}{5}\\3x+y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{5})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-107}{11}-6x\\-6x-y=\frac{127}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{11})\}\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-387}{70}\\-x=-6y+\frac{127}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{7}{10})\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-549}{22}\\-6x=y+\frac{-449}{22}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{10}{11})\}\)
8. \(\left\{\begin{matrix}6x+y=\frac{75}{4}\\-2x+3y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(3,\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{237}{20}\\-x=5y+\frac{13}{4}\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{20})\}\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{11}{5}\\x-6y=\frac{7}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-232}{51}\\2x=-y+\frac{316}{153}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{-14}{17})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{-200}{9}\\2x=3y+-10\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-4}{9})\}\)