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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-10}{3}+5x\\x-6y=\frac{19}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{125}{88}-2x\\-6x+5y=\frac{241}{88}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-425}{13}\\-3x=y+\frac{427}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-51}{10}\\-x-6y=\frac{-193}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-113}{8}\\x+y=\frac{-49}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{101}{28}+x\\-4x-5y=\frac{173}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-2y=\frac{21}{5}\\-5x+5y=-12\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-24}{35}\\-x+6y=\frac{282}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{1}{4}\\-x=-3y+\frac{43}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-542}{57}\\-x+y=\frac{-22}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{219}{10}-4x\\x+y=\frac{-103}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+2y=-6\\3x=-y+-3\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-10}{3}+5x\\x-6y=\frac{19}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-5}{6})\}\)
2. \(\left\{\begin{matrix}y=\frac{125}{88}-2x\\-6x+5y=\frac{241}{88}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{7}{8})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{-425}{13}\\-3x=y+\frac{427}{13}\end{matrix}\right.\qquad V=\{(-11,\frac{2}{13})\}\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-51}{10}\\-x-6y=\frac{-193}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{10},3)\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-113}{8}\\x+y=\frac{-49}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-17}{8})\}\)
6. \(\left\{\begin{matrix}y=\frac{101}{28}+x\\-4x-5y=\frac{173}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-8}{7})\}\)
7. \(\left\{\begin{matrix}-x-2y=\frac{21}{5}\\-5x+5y=-12\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-11}{5})\}\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-24}{35}\\-x+6y=\frac{282}{35}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{1}{4}\\-x=-3y+\frac{43}{40}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-542}{57}\\-x+y=\frac{-22}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{18}{19})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{219}{10}-4x\\x+y=\frac{-103}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-17}{4})\}\)
12. \(\left\{\begin{matrix}6x+2y=-6\\3x=-y+-3\end{matrix}\right.\qquad V=\{(\frac{-5}{3},2)\}\)