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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{54}{5}-3x\\5x+y=\frac{102}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{-1950}{17}\\5x+y=\frac{1682}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{515}{144}\\4x-6y=\frac{-109}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{79}{3}\\-2x=3y+\frac{16}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=-1+x\\3x-4y=\frac{-103}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+4y=\frac{305}{3}\\-x-2y=\frac{-67}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-5y=\frac{47}{10}\\-x=3y+\frac{31}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{1072}{255}+x\\6x+4y=\frac{-1672}{255}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{-86}{15}\\-4x=6y+\frac{-164}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{216}{91}+3x\\x+4y=\frac{-667}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-21}{8}-x\\-2x-2y=\frac{-11}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-41}{20}\\-x-6y=\frac{-52}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{54}{5}-3x\\5x+y=\frac{102}{5}\end{matrix}\right.\qquad V=\{(4,\frac{2}{5})\}\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{-1950}{17}\\5x+y=\frac{1682}{17}\end{matrix}\right.\qquad V=\{(20,\frac{-18}{17})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{515}{144}\\4x-6y=\frac{-109}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{17}{9})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{79}{3}\\-2x=3y+\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},2)\}\)
5. \(\left\{\begin{matrix}-5y=-1+x\\3x-4y=\frac{-103}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{7}{10})\}\)
6. \(\left\{\begin{matrix}5x+4y=\frac{305}{3}\\-x-2y=\frac{-67}{3}\end{matrix}\right.\qquad V=\{(19,\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}3x-5y=\frac{47}{10}\\-x=3y+\frac{31}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},-1)\}\)
8. \(\left\{\begin{matrix}-4y=\frac{1072}{255}+x\\6x+4y=\frac{-1672}{255}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-14}{15})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{-86}{15}\\-4x=6y+\frac{-164}{15}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}5y=\frac{216}{91}+3x\\x+4y=\frac{-667}{91}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{-15}{13})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-21}{8}-x\\-2x-2y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{8},-1)\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-41}{20}\\-x-6y=\frac{-52}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{15}{8})\}\)