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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=\frac{934}{19}\\x+6y=\frac{281}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-3y=\frac{-31}{2}\\x=-3y+\frac{37}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{17}{18}-5x\\-x+4y=\frac{-26}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-607}{15}-4x\\x-6y=\frac{827}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-467}{7}\\-2x-y=\frac{-116}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-11}{2}\\x+4y=\frac{-49}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{188}{95}\\-x-y=\frac{-77}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{1}{6}\\2x=y+\frac{-25}{36}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{513}{55}\\-2x-y=\frac{-146}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{481}{14}-5x\\x+y=\frac{-59}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-100}{21}+5x\\-x-2y=\frac{-41}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+5y=\frac{31}{14}\\-x=-y+\frac{9}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=\frac{934}{19}\\x+6y=\frac{281}{19}\end{matrix}\right.\qquad V=\{(17,\frac{-7}{19})\}\)
2. \(\left\{\begin{matrix}5x-3y=\frac{-31}{2}\\x=-3y+\frac{37}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},6)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{17}{18}-5x\\-x+4y=\frac{-26}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-3}{4})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-607}{15}-4x\\x-6y=\frac{827}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},-9)\}\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-467}{7}\\-2x-y=\frac{-116}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-17}{7})\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-11}{2}\\x+4y=\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{188}{95}\\-x-y=\frac{-77}{95}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{1}{6}\\2x=y+\frac{-25}{36}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{1}{4})\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{513}{55}\\-2x-y=\frac{-146}{55}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{5}{11})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{481}{14}-5x\\x+y=\frac{-59}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-17}{2})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-100}{21}+5x\\-x-2y=\frac{-41}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}2x+5y=\frac{31}{14}\\-x=-y+\frac{9}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{1}{2})\}\)