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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=\frac{89}{5}\\4x=-y+\frac{43}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-6y=-29\\3x+5y=22\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-y=\frac{10}{7}\\5x=3y+\frac{11}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-41}{19}+5x\\6x-y=\frac{132}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=10+4x\\-2x+y=\frac{-33}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-103}{3}+4x\\-x+4y=\frac{401}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{-406}{65}\\-x+5y=\frac{-129}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{2}{5}+4x\\-6x-y=\frac{43}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{107}{99}+4x\\x+4y=\frac{700}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{286}{15}\\x=-y+\frac{-61}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-163}{42}\\x-6y=\frac{419}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{27}{4}\\-2x-y=\frac{73}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=\frac{89}{5}\\4x=-y+\frac{43}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-9}{5})\}\)
2. \(\left\{\begin{matrix}-x-6y=-29\\3x+5y=22\end{matrix}\right.\qquad V=\{(-1,5)\}\)
3. \(\left\{\begin{matrix}4x-y=\frac{10}{7}\\5x=3y+\frac{11}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{4}{7})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-41}{19}+5x\\6x-y=\frac{132}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-18}{19})\}\)
5. \(\left\{\begin{matrix}-6y=10+4x\\-2x+y=\frac{-33}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-17}{7})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-103}{3}+4x\\-x+4y=\frac{401}{12}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},8)\}\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{-406}{65}\\-x+5y=\frac{-129}{65}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-1}{13})\}\)
8. \(\left\{\begin{matrix}6y=\frac{2}{5}+4x\\-6x-y=\frac{43}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}3y=\frac{107}{99}+4x\\x+4y=\frac{700}{99}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{17}{11})\}\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{286}{15}\\x=-y+\frac{-61}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-19}{15})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-163}{42}\\x-6y=\frac{419}{63}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-15}{14})\}\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{27}{4}\\-2x-y=\frac{73}{24}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-2}{3})\}\)