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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-448}{65}+4x\\x+2y=\frac{-108}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+5y=\frac{-47}{24}\\x=-5y+\frac{-349}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{-79}{48}\\-5x=6y+\frac{-499}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-11}{19}+3x\\5x-y=\frac{-65}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-539}{20}\\-5x+6y=\frac{-447}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{32}{9}-5x\\x+4y=\frac{-35}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-21}{2}+2x\\-5x-4y=-27\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+4y=\frac{23}{20}\\-2x=-y+\frac{-67}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-3}{10}\\-x+4y=\frac{-11}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+2y=\frac{73}{70}\\3x=6y+\frac{-219}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{-52}{3}\\6x=-y+\frac{-34}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{33}{13}+5x\\4x+y=\frac{-94}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-448}{65}+4x\\x+2y=\frac{-108}{65}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-16}{13})\}\)
2. \(\left\{\begin{matrix}6x+5y=\frac{-47}{24}\\x=-5y+\frac{-349}{48}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{-79}{48}\\-5x=6y+\frac{-499}{80}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{7}{15})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-11}{19}+3x\\5x-y=\frac{-65}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-10}{19})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-539}{20}\\-5x+6y=\frac{-447}{10}\end{matrix}\right.\qquad V=\{(9,\frac{1}{20})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{32}{9}-5x\\x+4y=\frac{-35}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},-1)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-21}{2}+2x\\-5x-4y=-27\end{matrix}\right.\qquad V=\{(5,\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}3x+4y=\frac{23}{20}\\-2x=-y+\frac{-67}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-3}{10}\\-x+4y=\frac{-11}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}-x+2y=\frac{73}{70}\\3x=6y+\frac{-219}{70}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{6}{5})\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{-52}{3}\\6x=-y+\frac{-34}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},-2)\}\)
12. \(\left\{\begin{matrix}2y=\frac{33}{13}+5x\\4x+y=\frac{-94}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},-2)\}\)