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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=11\\x+6y=\frac{45}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-111}{10}+5x\\6x+y=\frac{48}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{31}{35}\\-x=2y+\frac{319}{70}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-47}{51}\\-4x=y+\frac{-305}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-1183}{102}\\-x=-4y+\frac{-592}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{110}{21}\\-x-y=\frac{82}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-4y=\frac{-90}{17}\\-x-3y=\frac{-7}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{1204}{17}\\-5x+y=\frac{-326}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{65}{12}\\4x=6y+-13\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-475}{24}\\-x+6y=\frac{-203}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-59}{10}+3x\\3x-y=\frac{-41}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{79}{11}+2x\\x+y=\frac{-15}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=11\\x+6y=\frac{45}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},2)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-111}{10}+5x\\6x+y=\frac{48}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{3}{5})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{31}{35}\\-x=2y+\frac{319}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-10}{7})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-47}{51}\\-4x=y+\frac{-305}{153}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-19}{17})\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-1183}{102}\\-x=-4y+\frac{-592}{51}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-19}{6})\}\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{110}{21}\\-x-y=\frac{82}{63}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-4}{9})\}\)
7. \(\left\{\begin{matrix}6x-4y=\frac{-90}{17}\\-x-3y=\frac{-7}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{6}{17})\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{1204}{17}\\-5x+y=\frac{-326}{17}\end{matrix}\right.\qquad V=\{(\frac{4}{17},-18)\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{65}{12}\\4x=6y+-13\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-475}{24}\\-x+6y=\frac{-203}{24}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-15}{16})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-59}{10}+3x\\3x-y=\frac{-41}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},2)\}\)
12. \(\left\{\begin{matrix}5y=\frac{79}{11}+2x\\x+y=\frac{-15}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{7}{11})\}\)