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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+y=\frac{5}{2}\\-6x=3y+21\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-47}{120}+3x\\6x-4y=\frac{311}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-958}{63}\\x=5y+\frac{803}{63}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{7}{9}\\x=-5y+\frac{17}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-299}{63}-3x\\3x+2y=\frac{-355}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{33}{2}-3x\\-x+y=\frac{-7}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-6y=\frac{26}{5}\\-4x=6y+\frac{76}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{237}{17}\\-x-6y=\frac{252}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-119}{30}\\x-2y=\frac{-41}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-3y=\frac{-1689}{323}\\-x=5y+\frac{-934}{323}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{360}{119}\\-x=-y+\frac{-90}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{25}{2}\\4x+4y=\frac{106}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+y=\frac{5}{2}\\-6x=3y+21\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-47}{120}+3x\\6x-4y=\frac{311}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-11}{15})\}\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-958}{63}\\x=5y+\frac{803}{63}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-18}{7})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{7}{9}\\x=-5y+\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{5}{9})\}\)
5. \(\left\{\begin{matrix}y=\frac{-299}{63}-3x\\3x+2y=\frac{-355}{63}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-8}{9})\}\)
6. \(\left\{\begin{matrix}6y=\frac{33}{2}-3x\\-x+y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(3,\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}x-6y=\frac{26}{5}\\-4x=6y+\frac{76}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{-6}{5})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{237}{17}\\-x-6y=\frac{252}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-5}{2})\}\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-119}{30}\\x-2y=\frac{-41}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}6x-3y=\frac{-1689}{323}\\-x=5y+\frac{-934}{323}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{13}{19})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{360}{119}\\-x=-y+\frac{-90}{119}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-8}{17})\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{25}{2}\\4x+4y=\frac{106}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{7}{2})\}\)