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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{10}{3}+3x\\2x-y=-1\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{17}{4}\\-4x=-y+\frac{13}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-2y=\frac{398}{13}\\-4x-y=\frac{220}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-104}{21}\\x=-6y+\frac{72}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{187}{12}\\-6x=-y+\frac{-731}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+6y=\frac{-48}{11}\\-x-3y=\frac{27}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{284}{39}\\x+2y=\frac{-40}{39}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+4y=\frac{29}{5}\\-4x+2y=\frac{-14}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{206}{7}\\6x-2y=\frac{-244}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-21}{5}\\-x=2y+\frac{43}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-385}{114}\\5x=-y+\frac{763}{342}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-264}{35}+x\\-6x+3y=\frac{-594}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{10}{3}+3x\\2x-y=-1\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{17}{4}\\-4x=-y+\frac{13}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-11}{12})\}\)
3. \(\left\{\begin{matrix}6x-2y=\frac{398}{13}\\-4x-y=\frac{220}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},-16)\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-104}{21}\\x=-6y+\frac{72}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{5}{3})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{187}{12}\\-6x=-y+\frac{-731}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{17}{15})\}\)
6. \(\left\{\begin{matrix}3x+6y=\frac{-48}{11}\\-x-3y=\frac{27}{11}\end{matrix}\right.\qquad V=\{(\frac{6}{11},-1)\}\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{284}{39}\\x+2y=\frac{-40}{39}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{2}{13})\}\)
8. \(\left\{\begin{matrix}x+4y=\frac{29}{5}\\-4x+2y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{17}{15})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{206}{7}\\6x-2y=\frac{-244}{7}\end{matrix}\right.\qquad V=\{(-6,\frac{-4}{7})\}\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-21}{5}\\-x=2y+\frac{43}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-385}{114}\\5x=-y+\frac{763}{342}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{16}{19})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-264}{35}+x\\-6x+3y=\frac{-594}{35}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-6}{7})\}\)