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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=\frac{-49}{11}\\-4x-5y=\frac{-41}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+5y=\frac{19}{12}\\-x=5y+\frac{-11}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-450}{11}\\-x=-3y+\frac{-93}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{-359}{77}\\4x-y=\frac{442}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{381}{136}\\2x=5y+\frac{1265}{136}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-85}{152}\\2x=5y+\frac{-11}{76}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-39}{5}+4x\\-x-4y=\frac{161}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+3y=\frac{219}{38}\\x-4y=\frac{-685}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+3y=\frac{301}{38}\\x=-4y+\frac{194}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{51}{14}\\-x=y+\frac{29}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-y=\frac{-79}{323}\\-2x+6y=\frac{-590}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-699}{190}-3x\\6x+y=\frac{-374}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=\frac{-49}{11}\\-4x-5y=\frac{-41}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{11})\}\)
2. \(\left\{\begin{matrix}2x+5y=\frac{19}{12}\\-x=5y+\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{5}{12})\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-450}{11}\\-x=-3y+\frac{-93}{11}\end{matrix}\right.\qquad V=\{(12,\frac{13}{11})\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{-359}{77}\\4x-y=\frac{442}{77}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-2}{7})\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{381}{136}\\2x=5y+\frac{1265}{136}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-13}{8})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-85}{152}\\2x=5y+\frac{-11}{76}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-8}{19})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-39}{5}+4x\\-x-4y=\frac{161}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},-2)\}\)
8. \(\left\{\begin{matrix}4x+3y=\frac{219}{38}\\x-4y=\frac{-685}{57}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{17}{6})\}\)
9. \(\left\{\begin{matrix}2x+3y=\frac{301}{38}\\x=-4y+\frac{194}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{51}{14}\\-x=y+\frac{29}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},-2)\}\)
11. \(\left\{\begin{matrix}x-y=\frac{-79}{323}\\-2x+6y=\frac{-590}{323}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-11}{19})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-699}{190}-3x\\6x+y=\frac{-374}{95}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{5}{19})\}\)