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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+6y=\frac{87}{5}\\4x+y=\frac{-143}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-479}{66}+2x\\-x+5y=\frac{697}{132}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-131}{8}+3x\\x+2y=\frac{19}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{177}{28}-3x\\-x-5y=\frac{235}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{88}{15}\\5x+y=\frac{-32}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{145}{14}\\3x=-6y+\frac{-363}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-2y=\frac{54}{11}\\6x=3y+\frac{177}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{35}{8}\\x=-2y+-2\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-5y=\frac{-235}{6}\\x=y+\frac{-17}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{-93}{10}\\x+6y=\frac{-39}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{33}{35}\\-3x=y+\frac{-92}{105}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{37}{5}\\-3x=-y+\frac{-2}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+6y=\frac{87}{5}\\4x+y=\frac{-143}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{-3}{5})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-479}{66}+2x\\-x+5y=\frac{697}{132}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{14}{11})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-131}{8}+3x\\x+2y=\frac{19}{4}\end{matrix}\right.\qquad V=\{(9,\frac{-17}{8})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{177}{28}-3x\\-x-5y=\frac{235}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-7}{4})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{88}{15}\\5x+y=\frac{-32}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{4}{9})\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{145}{14}\\3x=-6y+\frac{-363}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-4}{7})\}\)
7. \(\left\{\begin{matrix}-x-2y=\frac{54}{11}\\6x=3y+\frac{177}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{-5}{2})\}\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{35}{8}\\x=-2y+-2\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}-5x-5y=\frac{-235}{6}\\x=y+\frac{-17}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{16}{3})\}\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{-93}{10}\\x+6y=\frac{-39}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{33}{35}\\-3x=y+\frac{-92}{105}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-19}{15})\}\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{37}{5}\\-3x=-y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-11}{5})\}\)