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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-704}{17}-6x\\-2x-y=\frac{144}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{129}{2}\\-x-6y=\frac{-69}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-2y=\frac{251}{66}\\x=y+\frac{251}{132}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=5\\-6x-y=\frac{-33}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-179}{40}\\x-y=\frac{-49}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-187}{28}\\x+y=\frac{45}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{482}{5}-6x\\2x-5y=30\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+2y=\frac{1}{6}\\5x=-2y+\frac{37}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{41}{4}\\x-6y=-25\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{38}{99}-4x\\-4x-2y=\frac{-148}{99}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{37}{18}-2x\\x-2y=\frac{77}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=-15\\x=4y+37\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-704}{17}-6x\\-2x-y=\frac{144}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},-8)\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{129}{2}\\-x-6y=\frac{-69}{2}\end{matrix}\right.\qquad V=\{(15,\frac{13}{4})\}\)
3. \(\left\{\begin{matrix}2x-2y=\frac{251}{66}\\x=y+\frac{251}{132}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-13}{12})\}\)
4. \(\left\{\begin{matrix}4x+5y=5\\-6x-y=\frac{-33}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{9}{10})\}\)
5. \(\left\{\begin{matrix}6x-2y=\frac{-179}{40}\\x-y=\frac{-49}{80}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-1}{5})\}\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-187}{28}\\x+y=\frac{45}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}y=\frac{482}{5}-6x\\2x-5y=30\end{matrix}\right.\qquad V=\{(16,\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}x+2y=\frac{1}{6}\\5x=-2y+\frac{37}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{41}{4}\\x-6y=-25\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{17}{4})\}\)
10. \(\left\{\begin{matrix}y=\frac{38}{99}-4x\\-4x-2y=\frac{-148}{99}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{10}{9})\}\)
11. \(\left\{\begin{matrix}5y=\frac{37}{18}-2x\\x-2y=\frac{77}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-13}{18})\}\)
12. \(\left\{\begin{matrix}-4x+2y=-15\\x=4y+37\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{2})\}\)