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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{-51}{8}\\x=y+\frac{-11}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-y=\frac{348}{35}\\3x-3y=\frac{663}{70}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{148}{5}\\6x-y=\frac{-29}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{490}{57}-2x\\-4x+y=\frac{-1043}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-y=\frac{-445}{7}\\4x=4y+\frac{-436}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-139}{28}\\4x-4y=\frac{159}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-19}{6}-6x\\-x-3y=\frac{5}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-182}{51}\\-2x-y=\frac{274}{153}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-8}{3}\\5x=y+\frac{-367}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-4y=\frac{-124}{51}\\x=5y+\frac{-206}{51}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-729}{52}+2x\\x-2y=\frac{-123}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{74}{17}-3x\\6x+y=\frac{211}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{-51}{8}\\x=y+\frac{-11}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{8})\}\)
2. \(\left\{\begin{matrix}6x-y=\frac{348}{35}\\3x-3y=\frac{663}{70}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-9}{5})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{148}{5}\\6x-y=\frac{-29}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},13)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{490}{57}-2x\\-4x+y=\frac{-1043}{57}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{7}{19})\}\)
5. \(\left\{\begin{matrix}4x-y=\frac{-445}{7}\\4x=4y+\frac{-436}{7}\end{matrix}\right.\qquad V=\{(-16,\frac{-3}{7})\}\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-139}{28}\\4x-4y=\frac{159}{14}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-5}{7})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-19}{6}-6x\\-x-3y=\frac{5}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{1}{18})\}\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-182}{51}\\-2x-y=\frac{274}{153}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{4}{9})\}\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-8}{3}\\5x=y+\frac{-367}{36}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}2x-4y=\frac{-124}{51}\\x=5y+\frac{-206}{51}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{16}{17})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-729}{52}+2x\\x-2y=\frac{-123}{52}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{15}{8})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{74}{17}-3x\\6x+y=\frac{211}{34}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-1}{2})\}\)