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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{13}{42}-x\\2x-4y=\frac{-8}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{454}{77}\\6x+2y=\frac{136}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{1483}{204}-6x\\6x+6y=\frac{403}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{63}{10}\\x=y+\frac{13}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-732}{19}+6x\\-6x+y=\frac{199}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+y=\frac{42}{19}\\-4x=4y+\frac{-54}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-16}{3}\\-2x+y=\frac{41}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{197}{33}\\-5x-4y=\frac{751}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-3}{5}-2x\\-6x-6y=\frac{72}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{-497}{78}\\3x-6y=\frac{-119}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-43}{20}\\2x=y+\frac{4}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{47}{19}\\-2x=y+\frac{-53}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{13}{42}-x\\2x-4y=\frac{-8}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{454}{77}\\6x+2y=\frac{136}{77}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{10}{7})\}\)
3. \(\left\{\begin{matrix}y=\frac{1483}{204}-6x\\6x+6y=\frac{403}{34}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{11}{12})\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{63}{10}\\x=y+\frac{13}{20}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{3}{5})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-732}{19}+6x\\-6x+y=\frac{199}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},7)\}\)
6. \(\left\{\begin{matrix}2x+y=\frac{42}{19}\\-4x=4y+\frac{-54}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-15}{19})\}\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-16}{3}\\-2x+y=\frac{41}{18}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{-11}{18})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{197}{33}\\-5x-4y=\frac{751}{33}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-3}{11})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-3}{5}-2x\\-6x-6y=\frac{72}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{5})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{-497}{78}\\3x-6y=\frac{-119}{13}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{5}{6})\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-43}{20}\\2x=y+\frac{4}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-3}{10})\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{47}{19}\\-2x=y+\frac{-53}{19}\end{matrix}\right.\qquad V=\{(\frac{17}{19},1)\}\)