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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{49}{9}\\-x+y=\frac{11}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{239}{44}\\-2x=4y+\frac{49}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{965}{182}+4x\\6x+6y=\frac{-753}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-45}{4}-5x\\-x+3y=\frac{1}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{-181}{88}\\2x-4y=\frac{-27}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+y=\frac{-47}{8}\\-4x-6y=\frac{111}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{26}{3}+3x\\-x-2y=\frac{-4}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-164}{9}+6x\\-3x+y=\frac{-95}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=48\\x=-5y+76\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-79}{72}-2x\\3x+2y=\frac{-67}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-4y=\frac{73}{7}\\x-6y=\frac{157}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{74}{5}\\x-y=\frac{7}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{49}{9}\\-x+y=\frac{11}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},1)\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{239}{44}\\-2x=4y+\frac{49}{11}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}-y=\frac{965}{182}+4x\\6x+6y=\frac{-753}{91}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-1}{14})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-45}{4}-5x\\-x+3y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{-181}{88}\\2x-4y=\frac{-27}{22}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{1}{8})\}\)
6. \(\left\{\begin{matrix}2x+y=\frac{-47}{8}\\-4x-6y=\frac{111}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},-4)\}\)
7. \(\left\{\begin{matrix}2y=\frac{26}{3}+3x\\-x-2y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{19}{12})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-164}{9}+6x\\-3x+y=\frac{-95}{9}\end{matrix}\right.\qquad V=\{(4,\frac{13}{9})\}\)
9. \(\left\{\begin{matrix}3x+3y=48\\x=-5y+76\end{matrix}\right.\qquad V=\{(1,15)\}\)
10. \(\left\{\begin{matrix}-y=\frac{-79}{72}-2x\\3x+2y=\frac{-67}{12}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}3x-4y=\frac{73}{7}\\x-6y=\frac{157}{21}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-6}{7})\}\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{74}{5}\\x-y=\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-5}{3})\}\)