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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{367}{30}\\-5x=4y+\frac{263}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-4y=\frac{8}{3}\\x=2y+\frac{-5}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-53}{14}-x\\4x+4y=\frac{-22}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{61}{8}\\2x=-5y+\frac{47}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+3y=\frac{-29}{18}\\5x-6y=\frac{37}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=-63-3x\\x-4y=-72\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-124}{5}\\-6x=y+\frac{231}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{61}{132}\\-5x-5y=\frac{305}{132}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-26}{3}+6x\\-5x+y=\frac{-169}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{-439}{112}\\6x=-6y+\frac{-117}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{155}{152}\\x-4y=\frac{61}{76}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=22\\-2x-y=1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{367}{30}\\-5x=4y+\frac{263}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{9}{10})\}\)
2. \(\left\{\begin{matrix}5x-4y=\frac{8}{3}\\x=2y+\frac{-5}{3}\end{matrix}\right.\qquad V=\{(2,\frac{11}{6})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-53}{14}-x\\4x+4y=\frac{-22}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{61}{8}\\2x=-5y+\frac{47}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{13}{8})\}\)
5. \(\left\{\begin{matrix}-x+3y=\frac{-29}{18}\\5x-6y=\frac{37}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-3y=-63-3x\\x-4y=-72\end{matrix}\right.\qquad V=\{(-4,17)\}\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-124}{5}\\-6x=y+\frac{231}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{9}{5})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{61}{132}\\-5x-5y=\frac{305}{132}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-11}{12})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-26}{3}+6x\\-5x+y=\frac{-169}{18}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{-439}{112}\\6x=-6y+\frac{-117}{56}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{5}{7})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{155}{152}\\x-4y=\frac{61}{76}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-3}{16})\}\)
12. \(\left\{\begin{matrix}-2x+6y=22\\-2x-y=1\end{matrix}\right.\qquad V=\{(-2,3)\}\)