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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{486}{221}-x\\3x+6y=\frac{522}{221}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{76}{7}+4x\\-x+y=\frac{37}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{125}{18}+5x\\x-y=\frac{1}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+4y=3\\-4x=y+\frac{67}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{62}{7}-2x\\3x-y=\frac{83}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+5y=\frac{275}{78}\\4x+y=\frac{281}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-83}{7}-5x\\-3x-y=\frac{139}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+2y=\frac{55}{26}\\-x+4y=\frac{-523}{156}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+3y=\frac{84}{5}\\-x=4y+\frac{-197}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{34}{55}-2x\\-4x-y=\frac{42}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=13-x\\5x+5y=\frac{125}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{9}{5}-6x\\-x-y=\frac{19}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{486}{221}-x\\3x+6y=\frac{522}{221}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{8}{17})\}\)
2. \(\left\{\begin{matrix}6y=\frac{76}{7}+4x\\-x+y=\frac{37}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{125}{18}+5x\\x-y=\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-10}{9})\}\)
4. \(\left\{\begin{matrix}-3x+4y=3\\-4x=y+\frac{67}{12}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{62}{7}-2x\\3x-y=\frac{83}{21}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-7}{6})\}\)
6. \(\left\{\begin{matrix}5x+5y=\frac{275}{78}\\4x+y=\frac{281}{39}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-19}{13})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-83}{7}-5x\\-3x-y=\frac{139}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{10}{7})\}\)
8. \(\left\{\begin{matrix}6x+2y=\frac{55}{26}\\-x+4y=\frac{-523}{156}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-9}{13})\}\)
9. \(\left\{\begin{matrix}-3x+3y=\frac{84}{5}\\-x=4y+\frac{-197}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{5},9)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{34}{55}-2x\\-4x-y=\frac{42}{55}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}-3y=13-x\\5x+5y=\frac{125}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{9}{5}-6x\\-x-y=\frac{19}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-3}{4})\}\)