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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+3y=\frac{51}{11}\\-5x=y+\frac{3}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{68}{3}-4x\\-5x-y=\frac{95}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-85}{12}\\-3x+y=\frac{-37}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{11}{3}\\6x=-2y+4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{124}{7}\\-x-2y=\frac{44}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{491}{176}+x\\-3x+6y=\frac{-1407}{176}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+5y=\frac{175}{36}\\x+4y=\frac{31}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=\frac{-7}{2}\\-4x-3y=-9\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+3y=\frac{-242}{9}\\-2x+y=\frac{-46}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{1}{3}+4x\\-x-6y=\frac{11}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{45}{2}+5x\\4x-y=\frac{-421}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{7}{18}\\4x+y=\frac{-106}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+3y=\frac{51}{11}\\-5x=y+\frac{3}{11}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},2)\}\)
2. \(\left\{\begin{matrix}-5y=\frac{68}{3}-4x\\-5x-y=\frac{95}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},-5)\}\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-85}{12}\\-3x+y=\frac{-37}{4}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{11}{3}\\6x=-2y+4\end{matrix}\right.\qquad V=\{(\frac{1}{3},1)\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{124}{7}\\-x-2y=\frac{44}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{-8}{7})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{491}{176}+x\\-3x+6y=\frac{-1407}{176}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{-15}{11})\}\)
7. \(\left\{\begin{matrix}5x+5y=\frac{175}{36}\\x+4y=\frac{31}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{1}{4})\}\)
8. \(\left\{\begin{matrix}-3x+y=\frac{-7}{2}\\-4x-3y=-9\end{matrix}\right.\qquad V=\{(\frac{3}{2},1)\}\)
9. \(\left\{\begin{matrix}2x+3y=\frac{-242}{9}\\-2x+y=\frac{-46}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},-8)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{1}{3}+4x\\-x-6y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-13}{12})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{45}{2}+5x\\4x-y=\frac{-421}{30}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{7}{18}\\4x+y=\frac{-106}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-16}{9})\}\)