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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-201}{13}+6x\\-6x+y=\frac{-165}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-7}{2}\\-x=4y+\frac{-37}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{-54}{5}\\-4x=-6y+\frac{66}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-5}{2}\\x-y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-287}{15}+2x\\-x+4y=\frac{-127}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+2y=\frac{-2}{15}\\-6x+6y=\frac{-19}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{-21}{5}\\3x+y=\frac{17}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{223}{20}\\-6x-3y=\frac{-171}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-51}{7}\\x-4y=\frac{67}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-493}{13}\\-x-y=\frac{176}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-3y=\frac{-13}{2}\\-2x=y+\frac{24}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-4y=\frac{-63}{20}\\6x+5y=\frac{173}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-201}{13}+6x\\-6x+y=\frac{-165}{13}\end{matrix}\right.\qquad V=\{(2,\frac{-9}{13})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-7}{2}\\-x=4y+\frac{-37}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},1)\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{-54}{5}\\-4x=-6y+\frac{66}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-5}{2}\\x-y=0\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-287}{15}+2x\\-x+4y=\frac{-127}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-19}{3})\}\)
6. \(\left\{\begin{matrix}-x+2y=\frac{-2}{15}\\-6x+6y=\frac{-19}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{-21}{5}\\3x+y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{223}{20}\\-6x-3y=\frac{-171}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{20},4)\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-51}{7}\\x-4y=\frac{67}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-15}{7})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-493}{13}\\-x-y=\frac{176}{13}\end{matrix}\right.\qquad V=\{(-13,\frac{-7}{13})\}\)
11. \(\left\{\begin{matrix}5x-3y=\frac{-13}{2}\\-2x=y+\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},-1)\}\)
12. \(\left\{\begin{matrix}x-4y=\frac{-63}{20}\\6x+5y=\frac{173}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{19}{20})\}\)