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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-5y=\frac{-21}{2}\\-x-2y=\frac{-21}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-373}{30}-5x\\x-y=\frac{-53}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{43}{9}-2x\\-3x-y=\frac{-115}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+6y=\frac{-35}{6}\\5x-y=\frac{-15}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+5y=\frac{3}{38}\\-5x+3y=\frac{-743}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-139}{26}\\-5x=-y+\frac{-183}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+4y=\frac{-1604}{255}\\x+2y=\frac{-682}{255}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{-67}{20}\\-6x+y=\frac{-89}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+y=\frac{11}{5}\\3x+5y=\frac{83}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{123}{7}-3x\\x-4y=-7\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{59}{2}\\x=-4y+\frac{-43}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-23}{30}\\-5x=5y+\frac{73}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-5y=\frac{-21}{2}\\-x-2y=\frac{-21}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-373}{30}-5x\\x-y=\frac{-53}{30}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{-2}{5})\}\)
3. \(\left\{\begin{matrix}2y=\frac{43}{9}-2x\\-3x-y=\frac{-115}{18}\end{matrix}\right.\qquad V=\{(2,\frac{7}{18})\}\)
4. \(\left\{\begin{matrix}4x+6y=\frac{-35}{6}\\5x-y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-5}{12})\}\)
5. \(\left\{\begin{matrix}x+5y=\frac{3}{38}\\-5x+3y=\frac{-743}{38}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-13}{19})\}\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-139}{26}\\-5x=-y+\frac{-183}{26}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}3x+4y=\frac{-1604}{255}\\x+2y=\frac{-682}{255}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-13}{15})\}\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{-67}{20}\\-6x+y=\frac{-89}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{7}{20})\}\)
9. \(\left\{\begin{matrix}2x+y=\frac{11}{5}\\3x+5y=\frac{83}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{19}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{123}{7}-3x\\x-4y=-7\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{15}{7})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{59}{2}\\x=-4y+\frac{-43}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{2})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-23}{30}\\-5x=5y+\frac{73}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-8}{15})\}\)