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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{410}{51}-2x\\x+3y=\frac{-59}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=\frac{25}{6}\\-6x=4y+19\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-82}{15}-4x\\-2x+y=\frac{11}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-4y=\frac{229}{56}\\2x+y=\frac{-5}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{-147}{8}\\3x-y=\frac{-237}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{11}{2}\\-3x+6y=\frac{-81}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{127}{36}\\x-y=\frac{-119}{144}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+3y=\frac{328}{85}\\-4x-3y=\frac{-343}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{16}{7}\\-x+y=\frac{2}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+4y=\frac{19}{3}\\4x=-y+\frac{-8}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-74}{7}+3x\\x-6y=\frac{-2}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=\frac{212}{63}\\5x=-y+\frac{-82}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{410}{51}-2x\\x+3y=\frac{-59}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-16}{17})\}\)
2. \(\left\{\begin{matrix}x-3y=\frac{25}{6}\\-6x=4y+19\end{matrix}\right.\qquad V=\{(\frac{-11}{6},-2)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-82}{15}-4x\\-2x+y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{8}{15})\}\)
4. \(\left\{\begin{matrix}-5x-4y=\frac{229}{56}\\2x+y=\frac{-5}{28}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-17}{7})\}\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{-147}{8}\\3x-y=\frac{-237}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},12)\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{11}{2}\\-3x+6y=\frac{-81}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-7)\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{127}{36}\\x-y=\frac{-119}{144}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}x+3y=\frac{328}{85}\\-4x-3y=\frac{-343}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{19}{15})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{16}{7}\\-x+y=\frac{2}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-1}{7})\}\)
10. \(\left\{\begin{matrix}4x+4y=\frac{19}{3}\\4x=-y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},3)\}\)
11. \(\left\{\begin{matrix}2y=\frac{-74}{7}+3x\\x-6y=\frac{-2}{7}\end{matrix}\right.\qquad V=\{(4,\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}5x+4y=\frac{212}{63}\\5x=-y+\frac{-82}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{14}{9})\}\)