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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-5y=\frac{1}{4}\\-x+6y=\frac{141}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-2y=\frac{-49}{136}\\-6x=3y+\frac{-993}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-1}{24}-x\\5x+5y=\frac{65}{48}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{113}{39}\\-x=-y+\frac{275}{78}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-319}{119}-x\\2x+2y=\frac{-134}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=1\\4x=-4y+-24\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-4y=\frac{-106}{7}\\-6x+y=16\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{129}{119}\\x+2y=\frac{404}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+4y=\frac{86}{15}\\x-2y=\frac{17}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-11}{4}+x\\-5x-6y=\frac{-7}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+2y=\frac{179}{10}\\-4x=y+\frac{-719}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{-83}{48}\\x+2y=\frac{-37}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-5y=\frac{1}{4}\\-x+6y=\frac{141}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{2}{5})\}\)
2. \(\left\{\begin{matrix}x-2y=\frac{-49}{136}\\-6x=3y+\frac{-993}{68}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{19}{17})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-1}{24}-x\\5x+5y=\frac{65}{48}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{16})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{113}{39}\\-x=-y+\frac{275}{78}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{17}{6})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-319}{119}-x\\2x+2y=\frac{-134}{119}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-12}{17})\}\)
6. \(\left\{\begin{matrix}-x-2y=1\\4x=-4y+-24\end{matrix}\right.\qquad V=\{(-11,5)\}\)
7. \(\left\{\begin{matrix}5x-4y=\frac{-106}{7}\\-6x+y=16\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{4}{7})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{129}{119}\\x+2y=\frac{404}{119}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{9}{7})\}\)
9. \(\left\{\begin{matrix}6x+4y=\frac{86}{15}\\x-2y=\frac{17}{15}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{15})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-11}{4}+x\\-5x-6y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}2x+2y=\frac{179}{10}\\-4x=y+\frac{-719}{20}\end{matrix}\right.\qquad V=\{(9,\frac{-1}{20})\}\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{-83}{48}\\x+2y=\frac{-37}{24}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-11}{16})\}\)