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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=\frac{-245}{187}\\2x+5y=\frac{116}{187}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-94}{17}-5x\\6x-4y=\frac{-166}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{51}+4x\\x-2y=\frac{80}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-y=\frac{29}{4}\\3x-5y=\frac{101}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-21}{5}+6x\\-x-5y=\frac{-169}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{79}{10}\\x=-3y+\frac{-117}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{-15}{14}\\-6x+2y=\frac{-51}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-1}{3}-6x\\x+3y=\frac{-221}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{-49}{44}\\-3x+4y=\frac{20}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-137}{90}-2x\\6x+2y=\frac{-43}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{-41}{2}\\-x+4y=\frac{179}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-310}{33}-6x\\-6x-y=\frac{265}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=\frac{-245}{187}\\2x+5y=\frac{116}{187}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-2}{11})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-94}{17}-5x\\6x-4y=\frac{-166}{17}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{19}{17})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{51}+4x\\x-2y=\frac{80}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-19}{17})\}\)
4. \(\left\{\begin{matrix}6x-y=\frac{29}{4}\\3x-5y=\frac{101}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},-2)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-21}{5}+6x\\-x-5y=\frac{-169}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{18}{5})\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{79}{10}\\x=-3y+\frac{-117}{40}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-11}{8})\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{-15}{14}\\-6x+2y=\frac{-51}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{6}{7})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-1}{3}-6x\\x+3y=\frac{-221}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-19}{15})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{-49}{44}\\-3x+4y=\frac{20}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-137}{90}-2x\\6x+2y=\frac{-43}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{13}{18})\}\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{-41}{2}\\-x+4y=\frac{179}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},5)\}\)
12. \(\left\{\begin{matrix}2y=\frac{-310}{33}-6x\\-6x-y=\frac{265}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-15}{11})\}\)