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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+6y=\frac{-802}{221}\\-6x-y=\frac{1267}{221}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+2y=\frac{27}{5}\\-6x=y+\frac{-131}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{311}{60}\\-x=2y+\frac{-163}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{29}{99}\\-x-4y=\frac{-53}{99}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+y=\frac{-146}{7}\\4x+3y=\frac{-393}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-911}{18}\\6x=y+\frac{1}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{163}{8}\\x+2y=\frac{37}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{13}{6}-5x\\-3x+2y=\frac{-2}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-3y=\frac{15}{7}\\3x-y=\frac{43}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{472}{55}\\-x=y+\frac{-169}{110}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+5y=\frac{71}{14}\\-3x+y=\frac{-433}{70}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-4y=\frac{2}{15}\\3x+y=\frac{4}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+6y=\frac{-802}{221}\\-6x-y=\frac{1267}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-19}{17})\}\)
2. \(\left\{\begin{matrix}4x+2y=\frac{27}{5}\\-6x=y+\frac{-131}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{311}{60}\\-x=2y+\frac{-163}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{29}{99}\\-x-4y=\frac{-53}{99}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{3}{11})\}\)
5. \(\left\{\begin{matrix}3x+y=\frac{-146}{7}\\4x+3y=\frac{-393}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},-17)\}\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-911}{18}\\6x=y+\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{163}{8}\\x+2y=\frac{37}{8}\end{matrix}\right.\qquad V=\{(5,\frac{-3}{16})\}\)
8. \(\left\{\begin{matrix}-y=\frac{13}{6}-5x\\-3x+2y=\frac{-2}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{5}{6})\}\)
9. \(\left\{\begin{matrix}2x-3y=\frac{15}{7}\\3x-y=\frac{43}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{472}{55}\\-x=y+\frac{-169}{110}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{18}{11})\}\)
11. \(\left\{\begin{matrix}5x+5y=\frac{71}{14}\\-3x+y=\frac{-433}{70}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-11}{14})\}\)
12. \(\left\{\begin{matrix}-6x-4y=\frac{2}{15}\\3x+y=\frac{4}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-1}{3})\}\)