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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+2y=\frac{-47}{13}\\x-y=\frac{11}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{239}{52}+x\\-3x+4y=\frac{-32}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-379}{14}\\2x+y=\frac{-163}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{37}{5}\\x=-6y+\frac{-29}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-5y=\frac{-347}{91}\\-x=-3y+\frac{125}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{52}{19}+3x\\3x-6y=\frac{-147}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-388}{39}\\6x-4y=\frac{1012}{39}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-23}{9}+5x\\x+3y=\frac{37}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-51}{5}\\2x+5y=18\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+2y=\frac{307}{51}\\x=2y+\frac{-127}{51}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-615}{14}\\x-4y=\frac{-507}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-131}{10}\\-4x=y+\frac{-49}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+2y=\frac{-47}{13}\\x-y=\frac{11}{26}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{239}{52}+x\\-3x+4y=\frac{-32}{13}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-5}{4})\}\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-379}{14}\\2x+y=\frac{-163}{14}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{19}{14})\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{37}{5}\\x=-6y+\frac{-29}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}3x-5y=\frac{-347}{91}\\-x=-3y+\frac{125}{91}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{1}{13})\}\)
6. \(\left\{\begin{matrix}y=\frac{52}{19}+3x\\3x-6y=\frac{-147}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},1)\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-388}{39}\\6x-4y=\frac{1012}{39}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-16}{3})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-23}{9}+5x\\x+3y=\frac{37}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},1)\}\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-51}{5}\\2x+5y=18\end{matrix}\right.\qquad V=\{(7,\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}2x+2y=\frac{307}{51}\\x=2y+\frac{-127}{51}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{11}{6})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-615}{14}\\x-4y=\frac{-507}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},9)\}\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-131}{10}\\-4x=y+\frac{-49}{30}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-19}{6})\}\)