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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-144}{5}+5x\\x-y=\frac{31}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-258}{13}\\x=-6y+\frac{1384}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-275}{36}\\x=2y+\frac{-89}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-17}{2}-2x\\5x+y=\frac{-317}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-239}{55}-3x\\x+4y=\frac{-283}{165}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{5}{6}\\-x=y+\frac{5}{36}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-61}{9}\\3x+2y=\frac{-38}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-55}{12}\\-2x+y=\frac{13}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+2y=\frac{15}{2}\\-6x=2y+\frac{125}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=122+6x\\2x-4y=-70\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-98}{3}\\x=-5y+\frac{82}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+y=\frac{-5}{4}\\6x+6y=\frac{25}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-144}{5}+5x\\x-y=\frac{31}{5}\end{matrix}\right.\qquad V=\{(6,\frac{-1}{5})\}\)
2. \(\left\{\begin{matrix}6x-5y=\frac{-258}{13}\\x=-6y+\frac{1384}{65}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{18}{5})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-275}{36}\\x=2y+\frac{-89}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{9}{4})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-17}{2}-2x\\5x+y=\frac{-317}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-239}{55}-3x\\x+4y=\frac{-283}{165}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-2}{15})\}\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{5}{6}\\-x=y+\frac{5}{36}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-61}{9}\\3x+2y=\frac{-38}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{17}{9})\}\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-55}{12}\\-2x+y=\frac{13}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-7}{15})\}\)
9. \(\left\{\begin{matrix}-x+2y=\frac{15}{2}\\-6x=2y+\frac{125}{2}\end{matrix}\right.\qquad V=\{(-10,\frac{-5}{4})\}\)
10. \(\left\{\begin{matrix}y=122+6x\\2x-4y=-70\end{matrix}\right.\qquad V=\{(-19,8)\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-98}{3}\\x=-5y+\frac{82}{3}\end{matrix}\right.\qquad V=\{(9,\frac{11}{3})\}\)
12. \(\left\{\begin{matrix}6x+y=\frac{-5}{4}\\6x+6y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{11}{4})\}\)