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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+y=\frac{-292}{55}\\-3x-3y=\frac{663}{110}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{37}{10}\\2x=-y+\frac{29}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+2y=\frac{34}{3}\\-6x+3y=71\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+5y=\frac{101}{4}\\-6x=-y+\frac{117}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-126}{13}\\-5x+y=\frac{-77}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{-64}{7}\\-6x-3y=\frac{-75}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+5y=\frac{-8}{3}\\x=2y+\frac{1}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-19}{99}\\-2x+y=\frac{-7}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-23}{4}+5x\\-x-6y=\frac{1}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-169}{95}+4x\\-x-4y=\frac{-819}{380}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{693}{65}\\-x-6y=\frac{-1449}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+y=\frac{203}{33}\\3x=-6y+\frac{-221}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+y=\frac{-292}{55}\\-3x-3y=\frac{663}{110}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-10}{11})\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{37}{10}\\2x=-y+\frac{29}{20}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{9}{4})\}\)
3. \(\left\{\begin{matrix}-x+2y=\frac{34}{3}\\-6x+3y=71\end{matrix}\right.\qquad V=\{(-12,\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}5x+5y=\frac{101}{4}\\-6x=-y+\frac{117}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},6)\}\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-126}{13}\\-5x+y=\frac{-77}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},-4)\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{-64}{7}\\-6x-3y=\frac{-75}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-17}{7})\}\)
7. \(\left\{\begin{matrix}-5x+5y=\frac{-8}{3}\\x=2y+\frac{1}{15}\end{matrix}\right.\qquad V=\{(1,\frac{7}{15})\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-19}{99}\\-2x+y=\frac{-7}{99}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{1}{9})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-23}{4}+5x\\-x-6y=\frac{1}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{16})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-169}{95}+4x\\-x-4y=\frac{-819}{380}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{10}{19})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{693}{65}\\-x-6y=\frac{-1449}{65}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{18}{5})\}\)
12. \(\left\{\begin{matrix}-x+y=\frac{203}{33}\\3x=-6y+\frac{-221}{11}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-2}{11})\}\)