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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{96}{55}+6x\\2x-6y=\frac{-202}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-241}{36}+5x\\6x+y=\frac{133}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-6y=\frac{1}{40}\\-x+y=\frac{-1}{240}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-266}{39}\\x+4y=\frac{131}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-73}{5}-2x\\-6x-6y=\frac{192}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+4y=\frac{-89}{45}\\4x-y=\frac{38}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{219}{76}+6x\\4x+y=\frac{-45}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{1057}{19}\\x+3y=\frac{-1057}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{-23}{2}\\-5x+6y=\frac{-27}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{215}{33}\\-2x-5y=\frac{107}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{46}{5}\\-5x=-y+\frac{-21}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-295}{26}\\6x+3y=\frac{240}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{96}{55}+6x\\2x-6y=\frac{-202}{55}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{6}{11})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-241}{36}+5x\\6x+y=\frac{133}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-1}{9})\}\)
3. \(\left\{\begin{matrix}6x-6y=\frac{1}{40}\\-x+y=\frac{-1}{240}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-15}{16})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-266}{39}\\x+4y=\frac{131}{39}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-73}{5}-2x\\-6x-6y=\frac{192}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}-2x+4y=\frac{-89}{45}\\4x-y=\frac{38}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-4}{9})\}\)
7. \(\left\{\begin{matrix}2y=\frac{219}{76}+6x\\4x+y=\frac{-45}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{6}{19})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{1057}{19}\\x+3y=\frac{-1057}{38}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-19}{2})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{-23}{2}\\-5x+6y=\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{6})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{215}{33}\\-2x-5y=\frac{107}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-13}{11})\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{46}{5}\\-5x=-y+\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{13}{10})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-295}{26}\\6x+3y=\frac{240}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{15}{13})\}\)