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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{1101}{152}\\x=6y+\frac{873}{152}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{7}{8}\\x=5y+\frac{79}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{64}{247}\\x=-y+\frac{-256}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-92}{7}\\-x+6y=\frac{-18}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{8}{65}-4x\\x+3y=\frac{-661}{130}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{13}{3}\\-2x-y=\frac{17}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{341}{19}-4x\\-4x+2y=\frac{-340}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-47}{132}-3x\\x+3y=\frac{-125}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-1438}{17}\\-x=-5y+\frac{-213}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{-22}{3}\\-x+5y=\frac{2}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{151}{26}\\x-5y=\frac{1019}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-12-6x\\-3x-y=\frac{-3}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{1101}{152}\\x=6y+\frac{873}{152}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-17}{19})\}\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{7}{8}\\x=5y+\frac{79}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{64}{247}\\x=-y+\frac{-256}{247}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-8}{13})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-92}{7}\\-x+6y=\frac{-18}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{-13}{14})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{8}{65}-4x\\x+3y=\frac{-661}{130}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-19}{13})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{13}{3}\\-2x-y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-y=\frac{341}{19}-4x\\-4x+2y=\frac{-340}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{1}{19})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-47}{132}-3x\\x+3y=\frac{-125}{44}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-7}{12})\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-1438}{17}\\-x=-5y+\frac{-213}{17}\end{matrix}\right.\qquad V=\{(14,\frac{5}{17})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{-22}{3}\\-x+5y=\frac{2}{9}\end{matrix}\right.\qquad V=\{(2,\frac{4}{9})\}\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{151}{26}\\x-5y=\frac{1019}{52}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-15}{4})\}\)
12. \(\left\{\begin{matrix}-3y=-12-6x\\-3x-y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},3)\}\)