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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{72}{5}\\4x+y=\frac{-39}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-450}{17}\\x+y=\frac{279}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{119}{24}-3x\\-x+4y=\frac{35}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=\frac{642}{221}\\-x=y+\frac{-118}{221}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{143}{28}-2x\\-3x+5y=\frac{-435}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-172}{85}-6x\\x-y=\frac{-86}{255}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-4y=\frac{321}{140}\\-2x=3y+\frac{23}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{41}{130}+2x\\6x-y=\frac{-441}{260}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+3y=\frac{-36}{35}\\x+2y=\frac{499}{140}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+3y=2\\x+3y=-4\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-27}{2}+5x\\-x+y=\frac{17}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-6y=\frac{37}{10}\\2x+y=\frac{91}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{72}{5}\\4x+y=\frac{-39}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},-3)\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-450}{17}\\x+y=\frac{279}{34}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{12}{17})\}\)
3. \(\left\{\begin{matrix}4y=\frac{119}{24}-3x\\-x+4y=\frac{35}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{7}{12})\}\)
4. \(\left\{\begin{matrix}5x+4y=\frac{642}{221}\\-x=y+\frac{-118}{221}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-4}{17})\}\)
5. \(\left\{\begin{matrix}-y=\frac{143}{28}-2x\\-3x+5y=\frac{-435}{28}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-9}{4})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-172}{85}-6x\\x-y=\frac{-86}{255}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{13}{15})\}\)
7. \(\left\{\begin{matrix}-x-4y=\frac{321}{140}\\-2x=3y+\frac{23}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-11}{14})\}\)
8. \(\left\{\begin{matrix}2y=\frac{41}{130}+2x\\6x-y=\frac{-441}{260}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-3}{20})\}\)
9. \(\left\{\begin{matrix}-6x+3y=\frac{-36}{35}\\x+2y=\frac{499}{140}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{19}{14})\}\)
10. \(\left\{\begin{matrix}-5x+3y=2\\x+3y=-4\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-27}{2}+5x\\-x+y=\frac{17}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},8)\}\)
12. \(\left\{\begin{matrix}4x-6y=\frac{37}{10}\\2x+y=\frac{91}{60}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{12})\}\)