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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=\frac{-28}{3}\\-x=4y+\frac{-32}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-147}{5}+6x\\-x-4y=\frac{-349}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{-44}{19}\\-2x+5y=\frac{8}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{271}{48}\\-x+5y=\frac{-499}{48}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-22}{3}-2x\\-5x+y=\frac{7}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-28}{17}-3x\\-x-2y=\frac{18}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{619}{266}-5x\\-2x-6y=\frac{-1279}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-69}{7}+5x\\6x+2y=\frac{94}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{194}{7}\\3x-3y=\frac{-162}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=12\\5x=6y+-41\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-6y=\frac{-1296}{17}\\x=-4y+\frac{889}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{93}{7}\\5x=-6y+\frac{-39}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=\frac{-28}{3}\\-x=4y+\frac{-32}{3}\end{matrix}\right.\qquad V=\{(4,\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-147}{5}+6x\\-x-4y=\frac{-349}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},9)\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{-44}{19}\\-2x+5y=\frac{8}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{19})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{271}{48}\\-x+5y=\frac{-499}{48}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-13}{6})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-22}{3}-2x\\-5x+y=\frac{7}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-1)\}\)
6. \(\left\{\begin{matrix}4y=\frac{-28}{17}-3x\\-x-2y=\frac{18}{17}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-13}{17})\}\)
7. \(\left\{\begin{matrix}-y=\frac{619}{266}-5x\\-2x-6y=\frac{-1279}{133}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{19}{14})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-69}{7}+5x\\6x+2y=\frac{94}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},2)\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{194}{7}\\3x-3y=\frac{-162}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{19}{7})\}\)
10. \(\left\{\begin{matrix}-6x+y=12\\5x=6y+-41\end{matrix}\right.\qquad V=\{(-1,6)\}\)
11. \(\left\{\begin{matrix}6x-6y=\frac{-1296}{17}\\x=-4y+\frac{889}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},13)\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{93}{7}\\5x=-6y+\frac{-39}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},-2)\}\)