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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-47}{2}-6x\\-x-3y=\frac{-131}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+2y=\frac{-7}{10}\\3x+5y=\frac{317}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-22}{3}\\6x=-4y+\frac{-8}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-532}{33}+5x\\4x+y=\frac{56}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{89}{5}+3x\\-x-y=\frac{37}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{802}{77}+x\\5x+3y=\frac{-83}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-6y=\frac{-65}{34}\\5x+6y=\frac{-37}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-193}{182}-2x\\-x-4y=\frac{-488}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{27}{10}-6x\\-3x-y=\frac{-2}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=\frac{333}{154}\\-5x+3y=\frac{915}{154}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{41}{4}+5x\\x+4y=\frac{-7}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{19}{2}\\-5x+y=\frac{29}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-47}{2}-6x\\-x-3y=\frac{-131}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},11)\}\)
2. \(\left\{\begin{matrix}-x+2y=\frac{-7}{10}\\3x+5y=\frac{317}{20}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-22}{3}\\6x=-4y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{10}{3})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-532}{33}+5x\\4x+y=\frac{56}{33}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-8}{3})\}\)
5. \(\left\{\begin{matrix}4y=\frac{89}{5}+3x\\-x-y=\frac{37}{20}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{7}{4})\}\)
6. \(\left\{\begin{matrix}6y=\frac{802}{77}+x\\5x+3y=\frac{-83}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{17}{11})\}\)
7. \(\left\{\begin{matrix}x-6y=\frac{-65}{34}\\5x+6y=\frac{-37}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{17})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-193}{182}-2x\\-x-4y=\frac{-488}{91}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{15}{14})\}\)
9. \(\left\{\begin{matrix}3y=\frac{27}{10}-6x\\-3x-y=\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{19}{10})\}\)
10. \(\left\{\begin{matrix}-2x+y=\frac{333}{154}\\-5x+3y=\frac{915}{154}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{15}{14})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{41}{4}+5x\\x+4y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{9}{20})\}\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{19}{2}\\-5x+y=\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{1}{6})\}\)