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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-83}{6}-5x\\-3x-y=\frac{1}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{-1}{6}\\-x+4y=\frac{11}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{209}{63}\\5x=-y+\frac{473}{63}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-27}{8}+3x\\3x-y=\frac{-5}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-189}{20}+5x\\-x+5y=\frac{35}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{7}{9}\\x+6y=\frac{11}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-1153}{12}-x\\-3x+6y=\frac{-443}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-101}{8}-3x\\x-4y=\frac{-23}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{51}{7}\\x=5y+\frac{-67}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-149}{60}\\2x=-4y+\frac{17}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{46}{7}\\x=-y+\frac{-44}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-181}{15}-x\\-3x+6y=\frac{-107}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-83}{6}-5x\\-3x-y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{6},-3)\}\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{-1}{6}\\-x+4y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{7}{12})\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{209}{63}\\5x=-y+\frac{473}{63}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-16}{9})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-27}{8}+3x\\3x-y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},-2)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-189}{20}+5x\\-x+5y=\frac{35}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{19}{10})\}\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{7}{9}\\x+6y=\frac{11}{18}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-1153}{12}-x\\-3x+6y=\frac{-443}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},-19)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-101}{8}-3x\\x-4y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-1}{8})\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{51}{7}\\x=5y+\frac{-67}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},2)\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-149}{60}\\2x=-4y+\frac{17}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{1}{12})\}\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{46}{7}\\x=-y+\frac{-44}{21}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-181}{15}-x\\-3x+6y=\frac{-107}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-12}{5})\}\)