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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{46}{15}\\-5x+3y=\frac{11}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{82}{13}-2x\\-x+4y=\frac{-66}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{401}{119}-5x\\6x+y=\frac{437}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{235}{19}+2x\\-2x+4y=\frac{200}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-307}{28}+3x\\x+5y=\frac{-151}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-64}{57}\\x+3y=\frac{388}{285}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{206}{9}\\-3x-y=\frac{17}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{77}{12}+3x\\x+3y=\frac{-35}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{5}{3}+2x\\3x+y=\frac{-148}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{137}{10}\\x-4y=\frac{49}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=16\\-3x=y+8\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{10}{3}\\-2x=-y+\frac{23}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{46}{15}\\-5x+3y=\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{19}{18})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{82}{13}-2x\\-x+4y=\frac{-66}{13}\end{matrix}\right.\qquad V=\{(2,\frac{-10}{13})\}\)
3. \(\left\{\begin{matrix}3y=\frac{401}{119}-5x\\6x+y=\frac{437}{119}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{1}{7})\}\)
4. \(\left\{\begin{matrix}-y=\frac{235}{19}+2x\\-2x+4y=\frac{200}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{-7}{19})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-307}{28}+3x\\x+5y=\frac{-151}{28}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-10}{7})\}\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-64}{57}\\x+3y=\frac{388}{285}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{12}{19})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{206}{9}\\-3x-y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},-4)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{77}{12}+3x\\x+3y=\frac{-35}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-7}{18})\}\)
9. \(\left\{\begin{matrix}5y=\frac{5}{3}+2x\\3x+y=\frac{-148}{15}\end{matrix}\right.\qquad V=\{(-3,\frac{-13}{15})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{137}{10}\\x-4y=\frac{49}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}-6x-2y=16\\-3x=y+8\end{matrix}\right.\qquad V=\{(-1,-5)\}\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{10}{3}\\-2x=-y+\frac{23}{18}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-1}{2})\}\)