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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{163}{51}\\-x-5y=\frac{-581}{204}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-15}{13}-3x\\-x-4y=\frac{-3}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-922}{247}\\5x=y+\frac{192}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-y=\frac{-249}{26}\\-6x=5y+\frac{721}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-1456}{95}\\x+3y=\frac{-476}{95}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-807}{77}\\-x=-3y+\frac{-128}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-148}{45}-5x\\-x+2y=\frac{53}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-6y=\frac{-3}{8}\\-4x=-y+\frac{-11}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{16}{5}+x\\-2x+5y=\frac{-33}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{74}{95}\\-x=4y+\frac{-1}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-3y=\frac{865}{136}\\-3x=2y+\frac{167}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+5y=\frac{83}{4}\\x=-2y+\frac{631}{80}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{163}{51}\\-x-5y=\frac{-581}{204}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{5}{12})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-15}{13}-3x\\-x-4y=\frac{-3}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{13})\}\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-922}{247}\\5x=y+\frac{192}{247}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{7}{13})\}\)
4. \(\left\{\begin{matrix}4x-y=\frac{-249}{26}\\-6x=5y+\frac{721}{52}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{1}{13})\}\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-1456}{95}\\x+3y=\frac{-476}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-14}{19})\}\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-807}{77}\\-x=-3y+\frac{-128}{77}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-15}{11})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-148}{45}-5x\\-x+2y=\frac{53}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}6x-6y=\frac{-3}{8}\\-4x=-y+\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{15}{16},1)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{16}{5}+x\\-2x+5y=\frac{-33}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},-1)\}\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{74}{95}\\-x=4y+\frac{-1}{95}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}-x-3y=\frac{865}{136}\\-3x=2y+\frac{167}{68}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-19}{8})\}\)
12. \(\left\{\begin{matrix}4x+5y=\frac{83}{4}\\x=-2y+\frac{631}{80}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{18}{5})\}\)