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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-9}{2}-3x\\4x-y=\frac{-39}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{382}{45}\\-4x=3y+\frac{-193}{90}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{83}{20}+6x\\-4x-5y=\frac{5}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{68}{3}\\-3x=y+-6\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-106}{17}\\-x+y=\frac{39}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{106}{7}\\-4x=y+\frac{-80}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-37}{3}+6x\\-x+6y=\frac{25}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-526}{13}\\x+4y=\frac{1012}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+y=\frac{-187}{21}\\3x-2y=\frac{-121}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-123}{10}+3x\\3x+y=\frac{113}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{188}{17}+3x\\5x+y=\frac{-832}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-516}{17}\\x-3y=\frac{-105}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-9}{2}-3x\\4x-y=\frac{-39}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{1}{7})\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{382}{45}\\-4x=3y+\frac{-193}{90}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{19}{10})\}\)
3. \(\left\{\begin{matrix}-y=\frac{83}{20}+6x\\-4x-5y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{20})\}\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{68}{3}\\-3x=y+-6\end{matrix}\right.\qquad V=\{(\frac{2}{3},4)\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-106}{17}\\-x+y=\frac{39}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{17})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{106}{7}\\-4x=y+\frac{-80}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{8}{3})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-37}{3}+6x\\-x+6y=\frac{25}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{8}{9})\}\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-526}{13}\\x+4y=\frac{1012}{39}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{19}{3})\}\)
9. \(\left\{\begin{matrix}4x+y=\frac{-187}{21}\\3x-2y=\frac{-121}{21}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-123}{10}+3x\\3x+y=\frac{113}{10}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}3y=\frac{188}{17}+3x\\5x+y=\frac{-832}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{6}{17})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-516}{17}\\x-3y=\frac{-105}{17}\end{matrix}\right.\qquad V=\{(-6,\frac{1}{17})\}\)