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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-12}{5}\\6x+2y=\frac{29}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-79}{78}+x\\6x-3y=\frac{-709}{78}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{45}{4}\\-5x=-y+\frac{363}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-51}{7}\\-x=-y+\frac{-29}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-5y=\frac{13}{3}\\-x=-3y+\frac{-14}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{37}{3}-6x\\-x-y=\frac{-1}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-249}{68}+5x\\3x+y=\frac{147}{340}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-2y=\frac{23}{3}\\5x=-y+\frac{-25}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{24}{5}\\x+6y=-10\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-31}{3}\\x+2y=-11\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-6y=-15\\x=6y+\frac{-40}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-2}{3}\\-x+2y=\frac{-11}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-12}{5}\\6x+2y=\frac{29}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-79}{78}+x\\6x-3y=\frac{-709}{78}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{13}{18})\}\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{45}{4}\\-5x=-y+\frac{363}{20}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{3}{20})\}\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-51}{7}\\-x=-y+\frac{-29}{14}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-9}{14})\}\)
5. \(\left\{\begin{matrix}2x-5y=\frac{13}{3}\\-x=-3y+\frac{-14}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{15})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{37}{3}-6x\\-x-y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-249}{68}+5x\\3x+y=\frac{147}{340}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{15}{17})\}\)
8. \(\left\{\begin{matrix}5x-2y=\frac{23}{3}\\5x=-y+\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-16}{3})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{24}{5}\\x+6y=-10\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-19}{10})\}\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-31}{3}\\x+2y=-11\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-14}{3})\}\)
11. \(\left\{\begin{matrix}6x-6y=-15\\x=6y+\frac{-40}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{13}{6})\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-2}{3}\\-x+2y=\frac{-11}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-1}{3})\}\)