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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-33}{5}\\-4x=-5y+\frac{-31}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-140}{17}+4x\\6x-y=\frac{-28}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-194}{17}\\x=y+\frac{-146}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{159}{76}-x\\6x-2y=\frac{-207}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=20\\x-3y=-22\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-506}{21}\\x=6y+\frac{411}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{59}{6}-6x\\x-y=\frac{13}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-195}{88}+6x\\x-2y=\frac{247}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=\frac{158}{15}\\x=y+\frac{91}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{85}{7}\\x=2y+\frac{-169}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=-8\\4x+6y=22\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{-38}{65}\\4x+5y=\frac{412}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-33}{5}\\-4x=-5y+\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},1)\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-140}{17}+4x\\6x-y=\frac{-28}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},2)\}\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-194}{17}\\x=y+\frac{-146}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-8}{17})\}\)
4. \(\left\{\begin{matrix}6y=\frac{159}{76}-x\\6x-2y=\frac{-207}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{9}{19})\}\)
5. \(\left\{\begin{matrix}-5x+5y=20\\x-3y=-22\end{matrix}\right.\qquad V=\{(5,9)\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-506}{21}\\x=6y+\frac{411}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-14}{3})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{59}{6}-6x\\x-y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{6})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-195}{88}+6x\\x-2y=\frac{247}{88}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{-13}{16})\}\)
9. \(\left\{\begin{matrix}4x+4y=\frac{158}{15}\\x=y+\frac{91}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{85}{7}\\x=2y+\frac{-169}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},6)\}\)
11. \(\left\{\begin{matrix}-x+6y=-8\\4x+6y=22\end{matrix}\right.\qquad V=\{(6,\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{-38}{65}\\4x+5y=\frac{412}{65}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{4}{13})\}\)