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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{-31}{120}\\4x=y+\frac{61}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{86}{11}\\x=y+\frac{-39}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-1046}{195}\\-3x+y=\frac{422}{195}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-103}{26}+5x\\-4x-6y=\frac{-75}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-92}{21}\\-x+y=\frac{-71}{42}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{255}{4}+5x\\4x-y=7\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-38}{3}+2x\\-6x+y=\frac{-16}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-107}{11}\\x+3y=\frac{48}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+4y=\frac{-49}{3}\\-5x+y=\frac{-26}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{286}{9}\\-x=3y+\frac{-262}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-11}{3}-3x\\-x+4y=\frac{2}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+4y=\frac{-380}{9}\\2x+y=\frac{-505}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{-31}{120}\\4x=y+\frac{61}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-8}{15})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{86}{11}\\x=y+\frac{-39}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-8}{11})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-1046}{195}\\-3x+y=\frac{422}{195}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-16}{15})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-103}{26}+5x\\-4x-6y=\frac{-75}{13}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-92}{21}\\-x+y=\frac{-71}{42}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{1}{7})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{255}{4}+5x\\4x-y=7\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-10)\}\)
7. \(\left\{\begin{matrix}5y=\frac{-38}{3}+2x\\-6x+y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{3})\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-107}{11}\\x+3y=\frac{48}{11}\end{matrix}\right.\qquad V=\{(3,\frac{5}{11})\}\)
9. \(\left\{\begin{matrix}2x+4y=\frac{-49}{3}\\-5x+y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-9}{2})\}\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{286}{9}\\-x=3y+\frac{-262}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},9)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-11}{3}-3x\\-x+4y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}3x+4y=\frac{-380}{9}\\2x+y=\frac{-505}{18}\end{matrix}\right.\qquad V=\{(-14,\frac{-1}{18})\}\)