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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{4}{3}+4x\\-3x+y=\frac{13}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-13}{4}\\-6x+y=\frac{-33}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{381}{182}+6x\\-2x+4y=\frac{148}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-85}{21}\\2x+4y=\frac{-55}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{420}{143}\\x+4y=\frac{-489}{143}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-215}{154}\\-6x=-2y+\frac{279}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-65}{12}\\-x-6y=\frac{181}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{49}{6}\\-6x+y=\frac{281}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{611}{110}-6x\\-4x-2y=\frac{-211}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{6}{5}-4x\\-5x+y=\frac{18}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{39}{76}+x\\2x+2y=\frac{-1}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-275}{8}-5x\\x-4y=\frac{185}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{4}{3}+4x\\-3x+y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-13}{4}\\-6x+y=\frac{-33}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-9}{8})\}\)
3. \(\left\{\begin{matrix}-y=\frac{381}{182}+6x\\-2x+4y=\frac{148}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{3}{14})\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-85}{21}\\2x+4y=\frac{-55}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-4}{3})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{420}{143}\\x+4y=\frac{-489}{143}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-12}{13})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-215}{154}\\-6x=-2y+\frac{279}{77}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-6}{11})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-65}{12}\\-x-6y=\frac{181}{30}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-11}{12})\}\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{49}{6}\\-6x+y=\frac{281}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{11}{18})\}\)
9. \(\left\{\begin{matrix}y=\frac{611}{110}-6x\\-4x-2y=\frac{-211}{55}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{1}{10})\}\)
10. \(\left\{\begin{matrix}6y=\frac{6}{5}-4x\\-5x+y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{3}{5})\}\)
11. \(\left\{\begin{matrix}y=\frac{39}{76}+x\\2x+2y=\frac{-1}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-275}{8}-5x\\x-4y=\frac{185}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},-6)\}\)