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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-50}{3}+6x\\-6x-y=\frac{-26}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-164}{11}-3x\\-6x+3y=\frac{338}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-6y=\frac{-41}{60}\\x=y+\frac{-71}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{47}{12}\\-5x=5y+\frac{575}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=\frac{-53}{3}\\5x-2y=\frac{-73}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+6y=\frac{65}{3}\\-3x=-5y+\frac{65}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{1221}{260}\\-x=-2y+\frac{233}{260}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+5y=\frac{193}{68}\\4x=y+\frac{-244}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{-237}{70}\\-6x=2y+\frac{237}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+3y=23\\x-3y=\frac{19}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+2y=\frac{97}{15}\\-6x+5y=19\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-3y=\frac{-25}{6}\\-6x+y=\frac{-15}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-50}{3}+6x\\-6x-y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-164}{11}-3x\\-6x+3y=\frac{338}{11}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{10}{11})\}\)
3. \(\left\{\begin{matrix}-5x-6y=\frac{-41}{60}\\x=y+\frac{-71}{60}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{3}{5})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{47}{12}\\-5x=5y+\frac{575}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{12},-11)\}\)
5. \(\left\{\begin{matrix}5x+y=\frac{-53}{3}\\5x-2y=\frac{-73}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{-11}{6})\}\)
6. \(\left\{\begin{matrix}-x+6y=\frac{65}{3}\\-3x=-5y+\frac{65}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{15}{4})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{1221}{260}\\-x=-2y+\frac{233}{260}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{12}{13})\}\)
8. \(\left\{\begin{matrix}3x+5y=\frac{193}{68}\\4x=y+\frac{-244}{51}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{19}{17})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{-237}{70}\\-6x=2y+\frac{237}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{9}{10})\}\)
10. \(\left\{\begin{matrix}4x+3y=23\\x-3y=\frac{19}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{2},-1)\}\)
11. \(\left\{\begin{matrix}x+2y=\frac{97}{15}\\-6x+5y=19\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{17}{5})\}\)
12. \(\left\{\begin{matrix}2x-3y=\frac{-25}{6}\\-6x+y=\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{5}{2})\}\)