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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{43}{11}\\5x=-y+\frac{-54}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-756}{13}\\-4x=-y+\frac{-171}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{1}{9}-2x\\-5x+y=\frac{-47}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+3y=\frac{-284}{95}\\2x+y=\frac{-208}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-14}{9}+x\\6x+2y=\frac{-14}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-47}{4}\\x+5y=\frac{7}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{83}{45}\\x-y=\frac{-256}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{-202}{11}\\-5x-y=\frac{-43}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=\frac{113}{10}\\6x=-2y+\frac{63}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-225}{13}\\x=y+\frac{70}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{48}{5}\\-x=-3y+\frac{19}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{31}{3}\\-6x+y=\frac{43}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{43}{11}\\5x=-y+\frac{-54}{11}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},1)\}\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-756}{13}\\-4x=-y+\frac{-171}{13}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},-15)\}\)
3. \(\left\{\begin{matrix}-6y=\frac{1}{9}-2x\\-5x+y=\frac{-47}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{1}{6})\}\)
4. \(\left\{\begin{matrix}2x+3y=\frac{-284}{95}\\2x+y=\frac{-208}{95}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-14}{9}+x\\6x+2y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},-1)\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-47}{4}\\x+5y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{17}{20})\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{83}{45}\\x-y=\frac{-256}{45}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{17}{9})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{-202}{11}\\-5x-y=\frac{-43}{11}\end{matrix}\right.\qquad V=\{(\frac{2}{11},3)\}\)
9. \(\left\{\begin{matrix}6x+y=\frac{113}{10}\\6x=-2y+\frac{63}{5}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{13}{10})\}\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-225}{13}\\x=y+\frac{70}{13}\end{matrix}\right.\qquad V=\{(5,\frac{-5}{13})\}\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{48}{5}\\-x=-3y+\frac{19}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{10})\}\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{31}{3}\\-6x+y=\frac{43}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{3}{2})\}\)