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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{43}{5}-6x\\4x+3y=\frac{87}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{253}{6}\\-x=-y+\frac{-41}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{-7}{2}\\4x=5y+\frac{-25}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-25}{11}\\-x=y+\frac{7}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-369}{8}\\-3x-y=\frac{183}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{-225}{56}\\4x-4y=\frac{-81}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+4y=\frac{-37}{3}\\3x-4y=7\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-219}{2}\\-x+3y=\frac{-53}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{235}{114}+5x\\x+3y=\frac{-3}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{57}{28}\\-x=2y+\frac{-9}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-3y=\frac{-16}{65}\\4x-y=\frac{-328}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+6y=0\\x=3y+\frac{-15}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{43}{5}-6x\\4x+3y=\frac{87}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},5)\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{253}{6}\\-x=-y+\frac{-41}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},-8)\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{-7}{2}\\4x=5y+\frac{-25}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-25}{11}\\-x=y+\frac{7}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-369}{8}\\-3x-y=\frac{183}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-3}{8})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{-225}{56}\\4x-4y=\frac{-81}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{15}{8})\}\)
7. \(\left\{\begin{matrix}x+4y=\frac{-37}{3}\\3x-4y=7\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-11}{4})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-219}{2}\\-x+3y=\frac{-53}{4}\end{matrix}\right.\qquad V=\{(17,\frac{5}{4})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{235}{114}+5x\\x+3y=\frac{-3}{38}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{1}{6})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{57}{28}\\-x=2y+\frac{-9}{14}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{3}{4})\}\)
11. \(\left\{\begin{matrix}-6x-3y=\frac{-16}{65}\\4x-y=\frac{-328}{195}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{8}{13})\}\)
12. \(\left\{\begin{matrix}-4x+6y=0\\x=3y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{5}{2})\}\)