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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+5y=\frac{941}{119}\\-x=y+\frac{-163}{119}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{31}{90}\\6x=4y+\frac{94}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=-14+5x\\-6x+y=\frac{-139}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-112}{153}+x\\-3x+6y=\frac{-292}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-83}{24}\\3x=-y+\frac{-41}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{73}{7}-3x\\-5x+y=\frac{-40}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{600}{77}+4x\\2x+y=\frac{-234}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{70}{9}-5x\\x+6y=\frac{19}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-34}{5}-4x\\x+5y=\frac{19}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{-84}{5}\\-6x=5y+-101\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{17}{6}\\-2x=-5y+\frac{11}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{-95}{18}\\-6x-5y=\frac{-10}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+5y=\frac{941}{119}\\-x=y+\frac{-163}{119}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{17}{7})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{31}{90}\\6x=4y+\frac{94}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{-3}{20})\}\)
3. \(\left\{\begin{matrix}5y=-14+5x\\-6x+y=\frac{-139}{5}\end{matrix}\right.\qquad V=\{(5,\frac{11}{5})\}\)
4. \(\left\{\begin{matrix}y=\frac{-112}{153}+x\\-3x+6y=\frac{-292}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-20}{17})\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-83}{24}\\3x=-y+\frac{-41}{24}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-7}{12})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{73}{7}-3x\\-5x+y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},-5)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{600}{77}+4x\\2x+y=\frac{-234}{77}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-6}{7})\}\)
8. \(\left\{\begin{matrix}5y=\frac{70}{9}-5x\\x+6y=\frac{19}{9}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{1}{9})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-34}{5}-4x\\x+5y=\frac{19}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},1)\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{-84}{5}\\-6x=5y+-101\end{matrix}\right.\qquad V=\{(17,\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{17}{6}\\-2x=-5y+\frac{11}{6}\end{matrix}\right.\qquad V=\{(2,\frac{7}{6})\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{-95}{18}\\-6x-5y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},1)\}\)