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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-54}{11}-4x\\-6x-6y=\frac{126}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-175}{17}\\-x=5y+\frac{-107}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-93}{19}-5x\\x-4y=\frac{65}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{281}{10}\\-5x=-y+\frac{77}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+6y=\frac{93}{4}\\-x-y=\frac{-55}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{97}{2}-4x\\-5x+y=\frac{-541}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+4y=\frac{781}{133}\\3x=-3y+\frac{-768}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-103}{14}+6x\\-x-5y=\frac{-136}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=88\\-4x=y+\frac{86}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{17}{70}-x\\4x+4y=\frac{-36}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-71}{17}-5x\\2x-4y=\frac{196}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+2y=\frac{-393}{68}\\x=-5y+\frac{-1549}{136}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-54}{11}-4x\\-6x-6y=\frac{126}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-10}{11})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-175}{17}\\-x=5y+\frac{-107}{17}\end{matrix}\right.\qquad V=\{(1,\frac{18}{17})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-93}{19}-5x\\x-4y=\frac{65}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},-1)\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{281}{10}\\-5x=-y+\frac{77}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},16)\}\)
5. \(\left\{\begin{matrix}5x+6y=\frac{93}{4}\\-x-y=\frac{-55}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}5y=\frac{97}{2}-4x\\-5x+y=\frac{-541}{10}\end{matrix}\right.\qquad V=\{(11,\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}-x+4y=\frac{781}{133}\\3x=-3y+\frac{-768}{133}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{15}{19})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-103}{14}+6x\\-x-5y=\frac{-136}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{7}{6})\}\)
9. \(\left\{\begin{matrix}-5x-6y=88\\-4x=y+\frac{86}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-14)\}\)
10. \(\left\{\begin{matrix}6y=\frac{17}{70}-x\\4x+4y=\frac{-36}{35}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{1}{10})\}\)
11. \(\left\{\begin{matrix}y=\frac{-71}{17}-5x\\2x-4y=\frac{196}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},-3)\}\)
12. \(\left\{\begin{matrix}2x+2y=\frac{-393}{68}\\x=-5y+\frac{-1549}{136}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-17}{8})\}\)