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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{163}{143}+2x\\x+6y=\frac{-505}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-4}{7}+3x\\-3x+y=\frac{-43}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-193}{19}-5x\\-3x+y=\frac{47}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-6y=-26\\-5x-y=\frac{-49}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-10}{3}\\-x-y=\frac{-1}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=12-3x\\-x+y=\frac{1}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{82}{7}-4x\\-6x-y=\frac{-4}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+y=41\\-4x=5y+35\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{159}{4}+6x\\x+2y=\frac{-23}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-169}{44}\\4x-2y=\frac{19}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{-54}{7}\\x=-y+\frac{27}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-17}{6}-x\\4x+5y=\frac{23}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{163}{143}+2x\\x+6y=\frac{-505}{143}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-11}{13})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-4}{7}+3x\\-3x+y=\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{5}{2})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-193}{19}-5x\\-3x+y=\frac{47}{95}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}6x-6y=-26\\-5x-y=\frac{-49}{3}\end{matrix}\right.\qquad V=\{(2,\frac{19}{3})\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-10}{3}\\-x-y=\frac{-1}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{13}{6})\}\)
6. \(\left\{\begin{matrix}2y=12-3x\\-x+y=\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{82}{7}-4x\\-6x-y=\frac{-4}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},-2)\}\)
8. \(\left\{\begin{matrix}-4x+y=41\\-4x=5y+35\end{matrix}\right.\qquad V=\{(-10,1)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{159}{4}+6x\\x+2y=\frac{-23}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{-13}{4})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-169}{44}\\4x-2y=\frac{19}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-15}{11})\}\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{-54}{7}\\x=-y+\frac{27}{7}\end{matrix}\right.\qquad V=\{(1,\frac{20}{7})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-17}{6}-x\\4x+5y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{6},-1)\}\)