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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{36}{7}+2x\\4x+4y=\frac{18}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{140}{3}\\x+3y=\frac{-35}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+4y=\frac{769}{238}\\x-5y=\frac{641}{238}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{89}{10}+6x\\6x+5y=\frac{481}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-65}{3}\\x-2y=\frac{-295}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-1332}{187}\\x+4y=\frac{-718}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{125}{6}\\x+y=\frac{11}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=22-3x\\-6x+y=\frac{-17}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{181}{45}-6x\\x-6y=\frac{209}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-21}{11}-2x\\3x+y=\frac{-84}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-6y=\frac{-161}{13}\\2x=3y+\frac{-68}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-2y=\frac{-137}{12}\\3x-y=\frac{-59}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{36}{7}+2x\\4x+4y=\frac{18}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{15}{7})\}\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{140}{3}\\x+3y=\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{5}{9})\}\)
3. \(\left\{\begin{matrix}5x+4y=\frac{769}{238}\\x-5y=\frac{641}{238}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-6}{17})\}\)
4. \(\left\{\begin{matrix}y=\frac{89}{10}+6x\\6x+5y=\frac{481}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{19}{2})\}\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-65}{3}\\x-2y=\frac{-295}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},8)\}\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-1332}{187}\\x+4y=\frac{-718}{187}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-14}{17})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{125}{6}\\x+y=\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{5}{2})\}\)
8. \(\left\{\begin{matrix}6y=22-3x\\-6x+y=\frac{-17}{6}\end{matrix}\right.\qquad V=\{(1,\frac{19}{6})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{181}{45}-6x\\x-6y=\frac{209}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-10}{9})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-21}{11}-2x\\3x+y=\frac{-84}{11}\end{matrix}\right.\qquad V=\{(-3,\frac{15}{11})\}\)
11. \(\left\{\begin{matrix}-x-6y=\frac{-161}{13}\\2x=3y+\frac{-68}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},2)\}\)
12. \(\left\{\begin{matrix}4x-2y=\frac{-137}{12}\\3x-y=\frac{-59}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{19}{8})\}\)