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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+6y=\frac{-28}{11}\\x=-4y+\frac{-64}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=-31\\2x=y+\frac{109}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-116}{11}\\-3x+y=\frac{51}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{28}{11}-2x\\-3x+y=\frac{-20}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-46}{7}-6x\\-x+y=\frac{-19}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-27}{10}-x\\5x-3y=\frac{-167}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{342}{35}-3x\\-3x+y=\frac{-699}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{-141}{52}\\-x-y=\frac{-165}{208}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{16}{5}\\6x=-y+\frac{-58}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-5y=\frac{-223}{17}\\-4x=-3y+\frac{1232}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-63}{20}-x\\2x-6y=\frac{-183}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+3y=\frac{55}{57}\\x+6y=\frac{50}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+6y=\frac{-28}{11}\\x=-4y+\frac{-64}{33}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}-3x-3y=-31\\2x=y+\frac{109}{6}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}6x-4y=\frac{-116}{11}\\-3x+y=\frac{51}{11}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{11})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{28}{11}-2x\\-3x+y=\frac{-20}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},-1)\}\)
5. \(\left\{\begin{matrix}3y=\frac{-46}{7}-6x\\-x+y=\frac{-19}{21}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-27}{10}-x\\5x-3y=\frac{-167}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{7}{15})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{342}{35}-3x\\-3x+y=\frac{-699}{70}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{3}{14})\}\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{-141}{52}\\-x-y=\frac{-165}{208}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{3}{13})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{16}{5}\\6x=-y+\frac{-58}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}x-5y=\frac{-223}{17}\\-4x=-3y+\frac{1232}{17}\end{matrix}\right.\qquad V=\{(-19,\frac{-20}{17})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-63}{20}-x\\2x-6y=\frac{-183}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},3)\}\)
12. \(\left\{\begin{matrix}3x+3y=\frac{55}{57}\\x+6y=\frac{50}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{1}{9})\}\)