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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{41}{18}\\x=y+\frac{5}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{61}{144}-2x\\-x+5y=\frac{253}{144}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-52}{9}\\-x=5y+\frac{-41}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-3y=\frac{247}{110}\\x+y=\frac{81}{110}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-4y=\frac{17}{11}\\-5x=-4y+\frac{19}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=\frac{31}{8}\\-3x+y=\frac{-29}{48}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-y=\frac{-13}{2}\\3x+4y=-12\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-177}{14}+3x\\4x-y=\frac{82}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-201}{5}\\-4x=y+\frac{176}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{49}{6}\\x+4y=\frac{313}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{198}{5}\\-3x=-y+\frac{-59}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{234}{17}\\-5x+y=\frac{-118}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{41}{18}\\x=y+\frac{5}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{18})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{61}{144}-2x\\-x+5y=\frac{253}{144}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{9}{16})\}\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-52}{9}\\-x=5y+\frac{-41}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{9})\}\)
4. \(\left\{\begin{matrix}4x-3y=\frac{247}{110}\\x+y=\frac{81}{110}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{1}{10})\}\)
5. \(\left\{\begin{matrix}-x-4y=\frac{17}{11}\\-5x=-4y+\frac{19}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-1}{4})\}\)
6. \(\left\{\begin{matrix}6x+6y=\frac{31}{8}\\-3x+y=\frac{-29}{48}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}4x-y=\frac{-13}{2}\\3x+4y=-12\end{matrix}\right.\qquad V=\{(-2,\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-177}{14}+3x\\4x-y=\frac{82}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-12}{7})\}\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-201}{5}\\-4x=y+\frac{176}{5}\end{matrix}\right.\qquad V=\{(-9,\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{49}{6}\\x+4y=\frac{313}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{19}{3})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{198}{5}\\-3x=-y+\frac{-59}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-19}{3})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{234}{17}\\-5x+y=\frac{-118}{17}\end{matrix}\right.\qquad V=\{(\frac{10}{17},-4)\}\)