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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=-1\\x=3y+\frac{-19}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{65}{114}\\-x=-4y+\frac{-41}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+5y=\frac{1007}{104}\\-x+y=\frac{179}{104}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-209}{13}\\-6x=y+\frac{188}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{73}{4}-3x\\-x-y=\frac{-15}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-5y=\frac{26}{17}\\-x+2y=\frac{-14}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-37}{10}\\x-y=\frac{119}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{79}{65}-2x\\-x-6y=\frac{19}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=-15\\-5x=y+\frac{-43}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-579}{88}\\-x=y+\frac{201}{88}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{236}{57}\\-x=-y+\frac{215}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{141}{11}+3x\\-x+y=\frac{47}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=-1\\x=3y+\frac{-19}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{65}{114}\\-x=-4y+\frac{-41}{57}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-1}{6})\}\)
3. \(\left\{\begin{matrix}2x+5y=\frac{1007}{104}\\-x+y=\frac{179}{104}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{15}{8})\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-209}{13}\\-6x=y+\frac{188}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{7}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{73}{4}-3x\\-x-y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},-1)\}\)
6. \(\left\{\begin{matrix}4x-5y=\frac{26}{17}\\-x+2y=\frac{-14}{17}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-10}{17})\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-37}{10}\\x-y=\frac{119}{90}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-19}{18})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{79}{65}-2x\\-x-6y=\frac{19}{65}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-1}{10})\}\)
9. \(\left\{\begin{matrix}-4x+5y=-15\\-5x=y+\frac{-43}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{5})\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-579}{88}\\-x=y+\frac{201}{88}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{-19}{8})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{236}{57}\\-x=-y+\frac{215}{171}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{7}{19})\}\)
12. \(\left\{\begin{matrix}3y=\frac{141}{11}+3x\\-x+y=\frac{47}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},4)\}\)