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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-153}{13}\\-2x-y=\frac{-41}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-5y=\frac{95}{18}\\x-3y=\frac{55}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{-63}{5}\\-5x-5y=-63\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{453}{19}\\x+4y=\frac{-267}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-18}{91}\\-x+y=\frac{-3}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-y=\frac{-314}{63}\\2x-4y=\frac{-284}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{150}{13}+6x\\-x-6y=\frac{311}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-3}{40}\\2x+5y=\frac{5}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-3y=\frac{13}{9}\\-2x-y=\frac{1}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=-3\\6x=y+\frac{-9}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{3}{20}+5x\\-x+2y=\frac{63}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-5y=\frac{22}{21}\\x=3y+\frac{2}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-153}{13}\\-2x-y=\frac{-41}{13}\end{matrix}\right.\qquad V=\{(1,\frac{15}{13})\}\)
2. \(\left\{\begin{matrix}4x-5y=\frac{95}{18}\\x-3y=\frac{55}{24}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-5}{9})\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{-63}{5}\\-5x-5y=-63\end{matrix}\right.\qquad V=\{(\frac{18}{5},9)\}\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{453}{19}\\x+4y=\frac{-267}{38}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-12}{19})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-18}{91}\\-x+y=\frac{-3}{91}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{20}{13})\}\)
6. \(\left\{\begin{matrix}-4x-y=\frac{-314}{63}\\2x-4y=\frac{-284}{63}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{14}{9})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{150}{13}+6x\\-x-6y=\frac{311}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{13},-4)\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-3}{40}\\2x+5y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-1}{5})\}\)
9. \(\left\{\begin{matrix}2x-3y=\frac{13}{9}\\-2x-y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-4}{9})\}\)
10. \(\left\{\begin{matrix}6x-5y=-3\\6x=y+\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-3}{8})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{3}{20}+5x\\-x+2y=\frac{63}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{6}{5})\}\)
12. \(\left\{\begin{matrix}2x-5y=\frac{22}{21}\\x=3y+\frac{2}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{6}{7})\}\)