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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{31}{2}-3x\\5x+y=\frac{205}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+2y=\frac{5}{4}\\6x=-2y+\frac{-45}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{-73}{2}\\-x=y+\frac{-11}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{181}{30}\\-2x=6y+\frac{11}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-120}{119}-3x\\-x+y=\frac{47}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{93}{7}\\-6x=y+\frac{216}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{591}{119}\\-x+y=\frac{197}{238}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+6y=\frac{134}{19}\\2x-y=\frac{22}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-293}{56}\\x=4y+\frac{-71}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{27}{2}-6x\\x+5y=\frac{-65}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{722}{195}-x\\-6x-3y=\frac{-184}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+5y=\frac{335}{114}\\5x=5y+\frac{235}{114}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{31}{2}-3x\\5x+y=\frac{205}{12}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{15}{4})\}\)
2. \(\left\{\begin{matrix}x+2y=\frac{5}{4}\\6x=-2y+\frac{-45}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{15}{8})\}\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{-73}{2}\\-x=y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{2},-1)\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{181}{30}\\-2x=6y+\frac{11}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{3}{10})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-120}{119}-3x\\-x+y=\frac{47}{119}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-3}{17})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{93}{7}\\-6x=y+\frac{216}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{-6}{7})\}\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{591}{119}\\-x+y=\frac{197}{238}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{8}{17})\}\)
8. \(\left\{\begin{matrix}2x+6y=\frac{134}{19}\\2x-y=\frac{22}{19}\end{matrix}\right.\qquad V=\{(1,\frac{16}{19})\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-293}{56}\\x=4y+\frac{-71}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{7}{8})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{27}{2}-6x\\x+5y=\frac{-65}{24}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-7}{8})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{722}{195}-x\\-6x-3y=\frac{-184}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-12}{13})\}\)
12. \(\left\{\begin{matrix}x+5y=\frac{335}{114}\\5x=5y+\frac{235}{114}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{8}{19})\}\)