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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-2y=\frac{-44}{3}\\x-4y=\frac{-67}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-547}{19}+4x\\4x+y=\frac{537}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+y=\frac{255}{13}\\2x=2y+\frac{-94}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-y=\frac{-345}{104}\\4x-2y=\frac{167}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+4y=\frac{-7}{6}\\-3x=5y+\frac{35}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-238}{117}-2x\\4x+5y=\frac{434}{117}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-2y=\frac{69}{10}\\4x=y+\frac{107}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-51}{10}\\2x+4y=\frac{39}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{54}{7}\\2x+y=\frac{-37}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{-68}{15}\\-x=y+\frac{-8}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{642}{95}+3x\\-x+y=\frac{164}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{27}{44}+2x\\-6x+y=\frac{-249}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-2y=\frac{-44}{3}\\x-4y=\frac{-67}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{16}{3})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-547}{19}+4x\\4x+y=\frac{537}{19}\end{matrix}\right.\qquad V=\{(7,\frac{5}{19})\}\)
3. \(\left\{\begin{matrix}-5x+y=\frac{255}{13}\\2x=2y+\frac{-94}{13}\end{matrix}\right.\qquad V=\{(-4,\frac{-5}{13})\}\)
4. \(\left\{\begin{matrix}-6x-y=\frac{-345}{104}\\4x-2y=\frac{167}{52}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-3}{8})\}\)
5. \(\left\{\begin{matrix}x+4y=\frac{-7}{6}\\-3x=5y+\frac{35}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-238}{117}-2x\\4x+5y=\frac{434}{117}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{10}{9})\}\)
7. \(\left\{\begin{matrix}6x-2y=\frac{69}{10}\\4x=y+\frac{107}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{9}{4})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-51}{10}\\2x+4y=\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{54}{7}\\2x+y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},-1)\}\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{-68}{15}\\-x=y+\frac{-8}{15}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}6y=\frac{642}{95}+3x\\-x+y=\frac{164}{95}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{10}{19})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{27}{44}+2x\\-6x+y=\frac{-249}{44}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-3}{4})\}\)