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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-y=\frac{9}{2}\\-6x=-2y+\frac{-43}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-59}{130}+x\\-2x+2y=\frac{-19}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+2y=\frac{44}{9}\\-5x-y=\frac{-53}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=\frac{-62}{35}\\3x=2y+\frac{-171}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{799}{28}-5x\\x+y=\frac{293}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-221}{30}-5x\\x+6y=\frac{119}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{303}{20}\\-x+4y=\frac{241}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-1091}{9}\\3x-2y=\frac{562}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-1}{9}\\x=-3y+\frac{-37}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{46}{9}\\6x=3y+\frac{-25}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-690}{7}\\-6x+y=\frac{-842}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-5y=\frac{-313}{130}\\2x+y=\frac{-291}{130}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-y=\frac{9}{2}\\-6x=-2y+\frac{-43}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-5}{6})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-59}{130}+x\\-2x+2y=\frac{-19}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{2}{13})\}\)
3. \(\left\{\begin{matrix}4x+2y=\frac{44}{9}\\-5x-y=\frac{-53}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{19}{9})\}\)
4. \(\left\{\begin{matrix}2x-y=\frac{-62}{35}\\3x=2y+\frac{-171}{70}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-3}{7})\}\)
5. \(\left\{\begin{matrix}6y=\frac{799}{28}-5x\\x+y=\frac{293}{56}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{19}{8})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-221}{30}-5x\\x+6y=\frac{119}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{303}{20}\\-x+4y=\frac{241}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},3)\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-1091}{9}\\3x-2y=\frac{562}{9}\end{matrix}\right.\qquad V=\{(20,\frac{-11}{9})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-1}{9}\\x=-3y+\frac{-37}{36}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{46}{9}\\6x=3y+\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},1)\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-690}{7}\\-6x+y=\frac{-842}{7}\end{matrix}\right.\qquad V=\{(20,\frac{-2}{7})\}\)
12. \(\left\{\begin{matrix}6x-5y=\frac{-313}{130}\\2x+y=\frac{-291}{130}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{-7}{13})\}\)