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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-1020}{91}+5x\\x-5y=\frac{-552}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-408}{55}\\-5x=-y+\frac{-288}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-6y=\frac{-75}{44}\\x=-5y+\frac{-371}{88}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+4y=\frac{-38}{3}\\x-3y=\frac{34}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-922}{17}\\-5x=-y+\frac{-311}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-418}{51}\\6x+y=\frac{-302}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-487}{42}\\x=-6y+\frac{-39}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-16}{3}+2x\\-5x-2y=-15\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{435}{323}\\4x+2y=\frac{-428}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{199}{17}\\-4x-y=\frac{135}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-247}{144}-5x\\-4x-4y=\frac{-85}{36}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-152}{9}+5x\\3x-3y=\frac{184}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-1020}{91}+5x\\x-5y=\frac{-552}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{18}{13})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-408}{55}\\-5x=-y+\frac{-288}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-8}{5})\}\)
3. \(\left\{\begin{matrix}5x-6y=\frac{-75}{44}\\x=-5y+\frac{-371}{88}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-5}{8})\}\)
4. \(\left\{\begin{matrix}-5x+4y=\frac{-38}{3}\\x-3y=\frac{34}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-922}{17}\\-5x=-y+\frac{-311}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},-18)\}\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-418}{51}\\6x+y=\frac{-302}{51}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-487}{42}\\x=-6y+\frac{-39}{14}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{-1}{12})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-16}{3}+2x\\-5x-2y=-15\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{-10}{3})\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{435}{323}\\4x+2y=\frac{-428}{323}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{12}{17})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{199}{17}\\-4x-y=\frac{135}{17}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-16}{17})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-247}{144}-5x\\-4x-4y=\frac{-85}{36}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{7}{9})\}\)
12. \(\left\{\begin{matrix}y=\frac{-152}{9}+5x\\3x-3y=\frac{184}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-8}{9})\}\)