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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{77}{20}\\-2x-5y=\frac{409}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{21}{2}-6x\\-5x+3y=\frac{57}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+3y=\frac{-3}{7}\\2x-5y=\frac{-39}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+3y=\frac{5}{8}\\4x-y=\frac{-39}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{-92}{19}\\x=y+\frac{25}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-28}{3}\\x=-6y+\frac{-2}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{48}{7}\\-2x=y+\frac{1}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{-141}{11}\\x+4y=\frac{26}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-98}{3}\\-5x-y=\frac{-29}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{388}{195}-x\\4x-3y=\frac{562}{195}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-109}{72}\\-x=-2y+\frac{263}{144}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-236}{51}-2x\\-x-5y=\frac{662}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{77}{20}\\-2x-5y=\frac{409}{20}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-17}{4})\}\)
2. \(\left\{\begin{matrix}y=\frac{21}{2}-6x\\-5x+3y=\frac{57}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},6)\}\)
3. \(\left\{\begin{matrix}x+3y=\frac{-3}{7}\\2x-5y=\frac{-39}{7}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{3}{7})\}\)
4. \(\left\{\begin{matrix}2x+3y=\frac{5}{8}\\4x-y=\frac{-39}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{8})\}\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{-92}{19}\\x=y+\frac{25}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-14}{19})\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-28}{3}\\x=-6y+\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{48}{7}\\-2x=y+\frac{1}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},1)\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{-141}{11}\\x+4y=\frac{26}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},1)\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-98}{3}\\-5x-y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},8)\}\)
10. \(\left\{\begin{matrix}2y=\frac{388}{195}-x\\4x-3y=\frac{562}{195}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{6}{13})\}\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-109}{72}\\-x=-2y+\frac{263}{144}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{17}{18})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-236}{51}-2x\\-x-5y=\frac{662}{51}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-8}{3})\}\)