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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-121}{16}-3x\\-2x+y=\frac{3}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-22}{5}\\-x+2y=\frac{-3}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-127}{4}-x\\4x-5y=\frac{-77}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+2y=\frac{-59}{21}\\-3x=-2y+\frac{-47}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=108+6x\\3x-y=-48\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-314}{171}-4x\\-x-5y=\frac{173}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{-169}{80}\\-3x-5y=\frac{43}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-121}{2}\\-4x+3y=58\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{1081}{42}+x\\5x+5y=\frac{1315}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-49}{20}-3x\\-3x-4y=\frac{89}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=-58\\-x+3y=-44\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-293}{26}\\3x-y=\frac{-591}{104}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-121}{16}-3x\\-2x+y=\frac{3}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{16},2)\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-22}{5}\\-x+2y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{13}{15})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-127}{4}-x\\4x-5y=\frac{-77}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{16}{3})\}\)
4. \(\left\{\begin{matrix}x+2y=\frac{-59}{21}\\-3x=-2y+\frac{-47}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-4}{3})\}\)
5. \(\left\{\begin{matrix}-2y=108+6x\\3x-y=-48\end{matrix}\right.\qquad V=\{(-17,-3)\}\)
6. \(\left\{\begin{matrix}6y=\frac{-314}{171}-4x\\-x-5y=\frac{173}{171}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-3}{19})\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{-169}{80}\\-3x-5y=\frac{43}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-4}{5})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-121}{2}\\-4x+3y=58\end{matrix}\right.\qquad V=\{(\frac{1}{2},20)\}\)
9. \(\left\{\begin{matrix}5y=\frac{1081}{42}+x\\5x+5y=\frac{1315}{42}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{16}{3})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-49}{20}-3x\\-3x-4y=\frac{89}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}-5x+6y=-58\\-x+3y=-44\end{matrix}\right.\qquad V=\{(-10,-18)\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-293}{26}\\3x-y=\frac{-591}{104}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-9}{13})\}\)