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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-y=\frac{-77}{18}\\-4x=-5y+\frac{17}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{1334}{119}+4x\\-x-6y=\frac{1787}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{652}{153}+3x\\-x-6y=\frac{556}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-y=\frac{16}{21}\\5x-5y=\frac{-365}{42}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{3}{8}\\x+5y=\frac{39}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-3y=\frac{-26}{5}\\-3x+y=\frac{19}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-137}{45}+4x\\x+5y=\frac{-62}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{-155}{14}\\2x-y=\frac{57}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-5}{9}+x\\-5x-5y=\frac{-145}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+4y=-37\\-x-2y=\frac{25}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-854}{33}\\-6x-y=\frac{-342}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-89}{7}\\x+5y=\frac{221}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-y=\frac{-77}{18}\\-4x=-5y+\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-2}{9})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{1334}{119}+4x\\-x-6y=\frac{1787}{119}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-18}{7})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{652}{153}+3x\\-x-6y=\frac{556}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-16}{9})\}\)
4. \(\left\{\begin{matrix}4x-y=\frac{16}{21}\\5x-5y=\frac{-365}{42}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{18}{7})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{3}{8}\\x+5y=\frac{39}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}4x-3y=\frac{-26}{5}\\-3x+y=\frac{19}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{8}{5})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-137}{45}+4x\\x+5y=\frac{-62}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{-155}{14}\\2x-y=\frac{57}{14}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-7}{2})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-5}{9}+x\\-5x-5y=\frac{-145}{36}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{1}{12})\}\)
10. \(\left\{\begin{matrix}6x+4y=-37\\-x-2y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{-19}{4})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-854}{33}\\-6x-y=\frac{-342}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-10}{11})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-89}{7}\\x+5y=\frac{221}{21}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{7}{3})\}\)