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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+5y=\frac{448}{57}\\6x+y=\frac{149}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{40}{3}-4x\\5x+5y=\frac{215}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{25}{2}-4x\\x+6y=8\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-17}{24}\\-x=4y+\frac{-65}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-186}{65}-x\\-4x-5y=\frac{109}{52}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{-415}{221}\\6x-5y=\frac{-2020}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-113}{42}\\-x-y=\frac{61}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-7}{3}\\-6x=y+\frac{-7}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-263}{136}-x\\2x+2y=\frac{-93}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-169}{44}+x\\5x+3y=\frac{629}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-441}{52}\\-3x=y+\frac{119}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{19}{14}+4x\\x+5y=\frac{-163}{42}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+5y=\frac{448}{57}\\6x+y=\frac{149}{57}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}y=\frac{40}{3}-4x\\5x+5y=\frac{215}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}6y=\frac{25}{2}-4x\\x+6y=8\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{13}{12})\}\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-17}{24}\\-x=4y+\frac{-65}{18}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{9}{8})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-186}{65}-x\\-4x-5y=\frac{109}{52}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-17}{20})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{-415}{221}\\6x-5y=\frac{-2020}{221}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{10}{13})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-113}{42}\\-x-y=\frac{61}{42}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-5}{3})\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-7}{3}\\-6x=y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{1}{6})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-263}{136}-x\\2x+2y=\frac{-93}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-5}{8})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-169}{44}+x\\5x+3y=\frac{629}{44}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{2}{11})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-441}{52}\\-3x=y+\frac{119}{52}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-20}{13})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{19}{14}+4x\\x+5y=\frac{-163}{42}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-5}{6})\}\)