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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=5\\-6x=-y+\frac{-37}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=89\\x=y+\frac{59}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{1327}{156}\\6x=y+\frac{-177}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{67}{3}\\-6x+5y=\frac{352}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-16}{17}-5x\\-4x-y=\frac{-11}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-142}{9}\\x+6y=10\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-38}{3}+5x\\-4x+y=\frac{-289}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{722}{187}-4x\\-4x-y=\frac{-7}{187}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-3y=\frac{-11}{5}\\-6x-3y=\frac{153}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{-1355}{176}\\-4x=-y+\frac{-43}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-38}{7}-x\\-5x+2y=\frac{305}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{-206}{35}\\-2x+6y=\frac{-209}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=5\\-6x=-y+\frac{-37}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{5},1)\}\)
2. \(\left\{\begin{matrix}6x-4y=89\\x=y+\frac{59}{4}\end{matrix}\right.\qquad V=\{(15,\frac{1}{4})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{1327}{156}\\6x=y+\frac{-177}{26}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{17}{13})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{67}{3}\\-6x+5y=\frac{352}{3}\end{matrix}\right.\qquad V=\{(-19,\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-16}{17}-5x\\-4x-y=\frac{-11}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},-1)\}\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-142}{9}\\x+6y=10\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{8}{9})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-38}{3}+5x\\-4x+y=\frac{-289}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{-5}{6})\}\)
8. \(\left\{\begin{matrix}6y=\frac{722}{187}-4x\\-4x-y=\frac{-7}{187}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{13}{17})\}\)
9. \(\left\{\begin{matrix}x-3y=\frac{-11}{5}\\-6x-3y=\frac{153}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{10})\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{-1355}{176}\\-4x=-y+\frac{-43}{44}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-19}{11})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-38}{7}-x\\-5x+2y=\frac{305}{7}\end{matrix}\right.\qquad V=\{(-9,\frac{-5}{7})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{-206}{35}\\-2x+6y=\frac{-209}{35}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-7}{5})\}\)