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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-25}{4}-5x\\x+y=\frac{-59}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-28}{3}+6x\\x+5y=\frac{-14}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{253}{28}+5x\\-x-y=\frac{-167}{140}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-4y=\frac{-51}{14}\\x-6y=\frac{-83}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-38}{5}-4x\\6x-y=\frac{-39}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{37}{8}-3x\\x-3y=\frac{-25}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-5y=\frac{155}{12}\\-x=4y+\frac{79}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{-1499}{154}\\4x=-4y+\frac{758}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+y=\frac{-1}{51}\\-6x+3y=\frac{35}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{65}{36}\\x+6y=\frac{223}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{193}{140}+3x\\-2x+4y=\frac{-69}{70}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-65}{12}\\-5x=-2y+\frac{-13}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-25}{4}-5x\\x+y=\frac{-59}{40}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{9}{8})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-28}{3}+6x\\x+5y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}2y=\frac{253}{28}+5x\\-x-y=\frac{-167}{140}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{15}{7})\}\)
4. \(\left\{\begin{matrix}5x-4y=\frac{-51}{14}\\x-6y=\frac{-83}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{14},1)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-38}{5}-4x\\6x-y=\frac{-39}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{5})\}\)
6. \(\left\{\begin{matrix}5y=\frac{37}{8}-3x\\x-3y=\frac{-25}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},1)\}\)
7. \(\left\{\begin{matrix}5x-5y=\frac{155}{12}\\-x=4y+\frac{79}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-11}{6})\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{-1499}{154}\\4x=-4y+\frac{758}{77}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{20}{11})\}\)
9. \(\left\{\begin{matrix}2x+y=\frac{-1}{51}\\-6x+3y=\frac{35}{17}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{65}{36}\\x+6y=\frac{223}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{9}{20})\}\)
11. \(\left\{\begin{matrix}y=\frac{193}{140}+3x\\-2x+4y=\frac{-69}{70}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{-4}{7})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-65}{12}\\-5x=-2y+\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{12})\}\)