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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{-329}{40}\\-3x=-6y+\frac{303}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{-31}{3}\\x=y+\frac{-1}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-1}{30}\\-x-3y=\frac{-29}{90}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-47}{11}-x\\3x+2y=\frac{-31}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+y=\frac{59}{30}\\3x+3y=\frac{-23}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-3y=-23\\x=-y+\frac{-37}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=31\\x=5y+23\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{37}{12}-4x\\6x+5y=\frac{475}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{142}{13}-5x\\4x-y=\frac{59}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-42}{5}+6x\\-2x-y=\frac{-7}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-41}{7}+x\\3x+3y=\frac{81}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-3-6x\\4x+y=13\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{-329}{40}\\-3x=-6y+\frac{303}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{5}{8})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{-31}{3}\\x=y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(1,\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-1}{30}\\-x-3y=\frac{-29}{90}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{1}{5})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-47}{11}-x\\3x+2y=\frac{-31}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},-1)\}\)
5. \(\left\{\begin{matrix}-4x+y=\frac{59}{30}\\3x+3y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-5}{6})\}\)
6. \(\left\{\begin{matrix}5x-3y=-23\\x=-y+\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}2x+5y=31\\x=5y+23\end{matrix}\right.\qquad V=\{(18,-1)\}\)
8. \(\left\{\begin{matrix}y=\frac{37}{12}-4x\\6x+5y=\frac{475}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{13}{3})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{142}{13}-5x\\4x-y=\frac{59}{13}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},-7)\}\)
10. \(\left\{\begin{matrix}4y=\frac{-42}{5}+6x\\-2x-y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-9}{10})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-41}{7}+x\\3x+3y=\frac{81}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{7},2)\}\)
12. \(\left\{\begin{matrix}-3y=-3-6x\\4x+y=13\end{matrix}\right.\qquad V=\{(2,5)\}\)