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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-3y=\frac{128}{57}\\x=-y+\frac{-206}{171}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-61}{95}+x\\-6x-3y=\frac{-411}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{662}{57}\\-2x=y+\frac{-349}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+4y=\frac{129}{28}\\-x+2y=\frac{209}{112}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+2y=\frac{55}{13}\\x+6y=\frac{279}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{8}{5}\\-4x+3y=\frac{-16}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{211}{36}\\-x+2y=\frac{23}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{-40}{9}\\x+y=\frac{-4}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-124}{9}+2x\\-x-y=\frac{-82}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{275}{171}+4x\\-5x+3y=\frac{-20}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{357}{19}+5x\\-6x+y=\frac{-39}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=4\\-x+3y=\frac{19}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-3y=\frac{128}{57}\\x=-y+\frac{-206}{171}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-17}{9})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-61}{95}+x\\-6x-3y=\frac{-411}{95}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{19})\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{662}{57}\\-2x=y+\frac{-349}{57}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-4}{19})\}\)
4. \(\left\{\begin{matrix}-4x+4y=\frac{129}{28}\\-x+2y=\frac{209}{112}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{5}{7})\}\)
5. \(\left\{\begin{matrix}5x+2y=\frac{55}{13}\\x+6y=\frac{279}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{8}{13})\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{8}{5}\\-4x+3y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-12}{5})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{211}{36}\\-x+2y=\frac{23}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{3}{4})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{-40}{9}\\x+y=\frac{-4}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{4}{3})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-124}{9}+2x\\-x-y=\frac{-82}{9}\end{matrix}\right.\qquad V=\{(8,\frac{10}{9})\}\)
10. \(\left\{\begin{matrix}-y=\frac{275}{171}+4x\\-5x+3y=\frac{-20}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-5}{9})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{357}{19}+5x\\-6x+y=\frac{-39}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},-3)\}\)
12. \(\left\{\begin{matrix}5x-6y=4\\-x+3y=\frac{19}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{3}{2})\}\)