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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=\frac{91}{20}\\-6x-4y=\frac{-141}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-41}{6}+5x\\-6x-y=\frac{-13}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{6}{7}\\-2x+y=\frac{10}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{69}{22}+6x\\-x-2y=\frac{-73}{44}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{191}{6}\\-5x=-y+\frac{-139}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-36}{7}\\x-2y=\frac{4}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-y=\frac{53}{8}\\-3x=-2y+\frac{-1}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-26}{9}+x\\6x-5y=\frac{1}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+5y=\frac{49}{3}\\-4x-4y=\frac{-172}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{277}{56}\\-2x+3y=\frac{327}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{62}{45}-2x\\x-4y=\frac{67}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{8}{9}\\3x=6y+4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=\frac{91}{20}\\-6x-4y=\frac{-141}{5}\end{matrix}\right.\qquad V=\{(5,\frac{-9}{20})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-41}{6}+5x\\-6x-y=\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{6}{7}\\-2x+y=\frac{10}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{7})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{69}{22}+6x\\-x-2y=\frac{-73}{44}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{16}{11})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{191}{6}\\-5x=-y+\frac{-139}{6}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-36}{7}\\x-2y=\frac{4}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{-16}{7})\}\)
7. \(\left\{\begin{matrix}-5x-y=\frac{53}{8}\\-3x=-2y+\frac{-1}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{8})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-26}{9}+x\\6x-5y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{9},1)\}\)
9. \(\left\{\begin{matrix}-x+5y=\frac{49}{3}\\-4x-4y=\frac{-172}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{16}{5})\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{277}{56}\\-2x+3y=\frac{327}{56}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{11}{7})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{62}{45}-2x\\x-4y=\frac{67}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{8}{9}\\3x=6y+4\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-1}{9})\}\)