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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{1296}{95}\\x=y+\frac{-264}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=20-6x\\2x+y=\frac{13}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-106}{9}+3x\\6x-y=\frac{176}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+y=\frac{-35}{24}\\2x=3y+4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-115}{36}-5x\\x-y=\frac{31}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{103}{14}+5x\\4x-6y=\frac{-205}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+3y=\frac{118}{9}\\5x=-2y+\frac{122}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-158}{17}\\5x=y+\frac{115}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{-13}{4}\\2x-2y=\frac{-43}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-583}{42}\\-2x+y=\frac{139}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{154}{5}\\-5x=-y+4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-346}{55}+2x\\x+4y=\frac{607}{165}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{1296}{95}\\x=y+\frac{-264}{95}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{16}{5})\}\)
2. \(\left\{\begin{matrix}4y=20-6x\\2x+y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(3,\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-106}{9}+3x\\6x-y=\frac{176}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{4}{9})\}\)
4. \(\left\{\begin{matrix}-x+y=\frac{-35}{24}\\2x=3y+4\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-13}{12})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-115}{36}-5x\\x-y=\frac{31}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}y=\frac{103}{14}+5x\\4x-6y=\frac{-205}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{9}{2})\}\)
7. \(\left\{\begin{matrix}x+3y=\frac{118}{9}\\5x=-2y+\frac{122}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},4)\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-158}{17}\\5x=y+\frac{115}{51}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{-13}{4}\\2x-2y=\frac{-43}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-583}{42}\\-2x+y=\frac{139}{21}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{16}{3})\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{154}{5}\\-5x=-y+4\end{matrix}\right.\qquad V=\{(\frac{2}{5},6)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-346}{55}+2x\\x+4y=\frac{607}{165}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{8}{15})\}\)