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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=\frac{-139}{2}\\-3x=y+\frac{-437}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-111}{55}\\-x=-4y+\frac{196}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+3y=22\\-x-4y=\frac{-279}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{1303}{187}\\-3x=-y+\frac{995}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{820}{19}\\5x=y+\frac{-1885}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{100}{63}+x\\3x-2y=\frac{-244}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{142}{11}\\-x=4y+\frac{-76}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-2092}{323}\\-6x=-y+\frac{-1130}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{121}{6}\\4x-6y=\frac{80}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{1662}{17}-4x\\-6x+y=\frac{-181}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-195}{7}+4x\\-4x-2y=\frac{-198}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-230}{17}\\-x-y=\frac{-49}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=\frac{-139}{2}\\-3x=y+\frac{-437}{8}\end{matrix}\right.\qquad V=\{(18,\frac{5}{8})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-111}{55}\\-x=-4y+\frac{196}{55}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{13}{10})\}\)
3. \(\left\{\begin{matrix}-4x+3y=22\\-x-4y=\frac{-279}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{17}{2})\}\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{1303}{187}\\-3x=-y+\frac{995}{187}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{7}{17})\}\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{820}{19}\\5x=y+\frac{-1885}{19}\end{matrix}\right.\qquad V=\{(-20,\frac{-15}{19})\}\)
6. \(\left\{\begin{matrix}2y=\frac{100}{63}+x\\3x-2y=\frac{-244}{63}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{2}{9})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{142}{11}\\-x=4y+\frac{-76}{11}\end{matrix}\right.\qquad V=\{(\frac{20}{11},\frac{14}{11})\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-2092}{323}\\-6x=-y+\frac{-1130}{323}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{14}{19})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{121}{6}\\4x-6y=\frac{80}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{6},-3)\}\)
10. \(\left\{\begin{matrix}-6y=\frac{1662}{17}-4x\\-6x+y=\frac{-181}{17}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},-17)\}\)
11. \(\left\{\begin{matrix}y=\frac{-195}{7}+4x\\-4x-2y=\frac{-198}{7}\end{matrix}\right.\qquad V=\{(7,\frac{1}{7})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-230}{17}\\-x-y=\frac{-49}{51}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{5}{3})\}\)