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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{52}{7}\\-x=2y+-4\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=\frac{52}{21}\\-4x-y=\frac{181}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{225}{119}\\x+5y=\frac{-823}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-y=\frac{65}{18}\\-5x-5y=\frac{235}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-2}{35}-4x\\3x+2y=\frac{-223}{70}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{49}{6}+5x\\-3x+y=\frac{33}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{100}{63}-4x\\5x-y=\frac{601}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-1001}{272}\\x-6y=\frac{-1237}{272}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{-11}{3}\\x-y=\frac{7}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-3y=\frac{-561}{14}\\-x-y=\frac{-103}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-937}{247}\\5x=-y+\frac{956}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-377}{7}-5x\\x+y=\frac{-127}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{52}{7}\\-x=2y+-4\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{18}{7})\}\)
2. \(\left\{\begin{matrix}4x+6y=\frac{52}{21}\\-4x-y=\frac{181}{42}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{19}{14})\}\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{225}{119}\\x+5y=\frac{-823}{119}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{-11}{7})\}\)
4. \(\left\{\begin{matrix}-3x-y=\frac{65}{18}\\-5x-5y=\frac{235}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-19}{9})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-2}{35}-4x\\3x+2y=\frac{-223}{70}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-8}{7})\}\)
6. \(\left\{\begin{matrix}5y=\frac{49}{6}+5x\\-3x+y=\frac{33}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{100}{63}-4x\\5x-y=\frac{601}{63}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{17}{9})\}\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-1001}{272}\\x-6y=\frac{-1237}{272}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{12}{17})\}\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{-11}{3}\\x-y=\frac{7}{18}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{5}{18})\}\)
10. \(\left\{\begin{matrix}-6x-3y=\frac{-561}{14}\\-x-y=\frac{-103}{14}\end{matrix}\right.\qquad V=\{(6,\frac{19}{14})\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-937}{247}\\5x=-y+\frac{956}{247}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-1}{13})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-377}{7}-5x\\x+y=\frac{-127}{14}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-17}{2})\}\)