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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-181}{35}+6x\\-x-6y=\frac{-487}{70}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+4y=\frac{37}{9}\\x=-3y+\frac{31}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{-3}{20}\\5x=-4y+\frac{51}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{265}{18}-x\\-2x+4y=\frac{71}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{181}{170}\\2x-y=\frac{-261}{340}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{201}{28}-3x\\x-2y=\frac{-19}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{54}{7}\\5x-y=\frac{9}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-65}{3}\\x=-5y+\frac{-143}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{491}{266}\\-4x+5y=\frac{-485}{266}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-83}{3}-6x\\4x+y=\frac{-113}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-y=\frac{81}{56}\\3x=-3y+\frac{-27}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=8-4x\\x-4y=\frac{23}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-181}{35}+6x\\-x-6y=\frac{-487}{70}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{8}{7})\}\)
2. \(\left\{\begin{matrix}4x+4y=\frac{37}{9}\\x=-3y+\frac{31}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{7}{9})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{-3}{20}\\5x=-4y+\frac{51}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}6y=\frac{265}{18}-x\\-2x+4y=\frac{71}{9}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{7}{3})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{181}{170}\\2x-y=\frac{-261}{340}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{13}{20})\}\)
6. \(\left\{\begin{matrix}3y=\frac{201}{28}-3x\\x-2y=\frac{-19}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{54}{7}\\5x-y=\frac{9}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},3)\}\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-65}{3}\\x=-5y+\frac{-143}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-14}{3})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{491}{266}\\-4x+5y=\frac{-485}{266}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{-11}{14})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-83}{3}-6x\\4x+y=\frac{-113}{6}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{6})\}\)
11. \(\left\{\begin{matrix}5x-y=\frac{81}{56}\\3x=-3y+\frac{-27}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-3}{8})\}\)
12. \(\left\{\begin{matrix}-5y=8-4x\\x-4y=\frac{23}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-2}{3})\}\)