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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{-59}{4}\\4x-2y=11\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-23}{2}\\-x-2y=3\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{63}{4}\\-x=-y+\frac{-29}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-33}{56}\\-2x-2y=\frac{39}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-15}{11}-2x\\-x+y=\frac{15}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-21}{2}\\6x+2y=\frac{47}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{11}{3}+4x\\-2x+y=\frac{32}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{-89}{56}\\-3x-2y=\frac{-117}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{381}{35}+3x\\6x-y=\frac{-223}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{857}{70}\\3x+3y=\frac{-531}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{183}{11}\\6x=y+\frac{215}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-350}{51}+5x\\-3x+y=\frac{-308}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{-59}{4}\\4x-2y=11\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-7)\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-23}{2}\\-x-2y=3\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{63}{4}\\-x=-y+\frac{-29}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-15}{2})\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-33}{56}\\-2x-2y=\frac{39}{28}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{3}{7})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-15}{11}-2x\\-x+y=\frac{15}{22}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-21}{2}\\6x+2y=\frac{47}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{10},-1)\}\)
7. \(\left\{\begin{matrix}5y=\frac{11}{3}+4x\\-2x+y=\frac{32}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{-89}{56}\\-3x-2y=\frac{-117}{56}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{6}{7})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{381}{35}+3x\\6x-y=\frac{-223}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-11}{5})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{857}{70}\\3x+3y=\frac{-531}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{183}{11}\\6x=y+\frac{215}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{16}{11})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-350}{51}+5x\\-3x+y=\frac{-308}{85}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{3}{17})\}\)