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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=\frac{-191}{114}\\-5x+6y=\frac{-99}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-87}{4}\\-x+6y=\frac{357}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-621}{10}-3x\\-x-4y=\frac{129}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{18}{7}\\2x-3y=\frac{29}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-y=\frac{-87}{28}\\5x-6y=\frac{-1423}{112}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{45}{4}-4x\\-x+4y=\frac{3}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{33}{2}\\x=3y+\frac{3}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-193}{19}+4x\\x+5y=\frac{92}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-47}{12}+x\\-5x-5y=\frac{125}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{95}{24}+3x\\-5x-3y=\frac{535}{72}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{332}{91}+6x\\-5x+4y=\frac{587}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{1}{4}\\x-6y=\frac{-153}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=\frac{-191}{114}\\-5x+6y=\frac{-99}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-1}{6})\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-87}{4}\\-x+6y=\frac{357}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{15}{2})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-621}{10}-3x\\-x-4y=\frac{129}{5}\end{matrix}\right.\qquad V=\{(-19,\frac{-17}{10})\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{18}{7}\\2x-3y=\frac{29}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},-1)\}\)
5. \(\left\{\begin{matrix}4x-y=\frac{-87}{28}\\5x-6y=\frac{-1423}{112}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{13}{7})\}\)
6. \(\left\{\begin{matrix}3y=\frac{45}{4}-4x\\-x+4y=\frac{3}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{33}{2}\\x=3y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},-1)\}\)
8. \(\left\{\begin{matrix}5y=\frac{-193}{19}+4x\\x+5y=\frac{92}{19}\end{matrix}\right.\qquad V=\{(3,\frac{7}{19})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-47}{12}+x\\-5x-5y=\frac{125}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},-2)\}\)
10. \(\left\{\begin{matrix}-y=\frac{95}{24}+3x\\-5x-3y=\frac{535}{72}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-5}{8})\}\)
11. \(\left\{\begin{matrix}y=\frac{332}{91}+6x\\-5x+4y=\frac{587}{91}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{14}{13})\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{1}{4}\\x-6y=\frac{-153}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{11}{8})\}\)