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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-79}{7}\\-3x+4y=\frac{-271}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{86}{85}-3x\\-5x+3y=\frac{-438}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{131}{10}+5x\\3x+y=\frac{-51}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-769}{9}-2x\\x-4y=\frac{-1021}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=-21+x\\5x+4y=-3\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-69}{5}\\-x=-6y+\frac{39}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+y=\frac{-9}{2}\\-5x=-2y+\frac{-77}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{24}{5}\\x=-3y+\frac{-87}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+3y=\frac{43}{8}\\-4x-y=\frac{-25}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{23}{18}\\-3x=2y+\frac{19}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-839}{153}\\-5x-y=\frac{-1559}{306}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{15}{13}\\x+6y=\frac{-49}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-79}{7}\\-3x+4y=\frac{-271}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},-10)\}\)
2. \(\left\{\begin{matrix}-y=\frac{86}{85}-3x\\-5x+3y=\frac{-438}{85}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-13}{5})\}\)
3. \(\left\{\begin{matrix}6y=\frac{131}{10}+5x\\3x+y=\frac{-51}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{3}{5})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-769}{9}-2x\\x-4y=\frac{-1021}{18}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},14)\}\)
5. \(\left\{\begin{matrix}4y=-21+x\\5x+4y=-3\end{matrix}\right.\qquad V=\{(3,\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}6x-3y=\frac{-69}{5}\\-x=-6y+\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},1)\}\)
7. \(\left\{\begin{matrix}-5x+y=\frac{-9}{2}\\-5x=-2y+\frac{-77}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{2}{9})\}\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{24}{5}\\x=-3y+\frac{-87}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-7}{10})\}\)
9. \(\left\{\begin{matrix}4x+3y=\frac{43}{8}\\-4x-y=\frac{-25}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{23}{18}\\-3x=2y+\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-839}{153}\\-5x-y=\frac{-1559}{306}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{7}{18})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{15}{13}\\x+6y=\frac{-49}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{13})\}\)