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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{46}{7}\\5x=-y+\frac{-13}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{109}{45}+x\\-6x-4y=\frac{-244}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-437}{30}\\-x+y=\frac{133}{120}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-143}{36}\\3x=y+\frac{7}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-619}{247}\\x=6y+\frac{-763}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-28}{9}\\2x-y=\frac{47}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+y=\frac{64}{221}\\-4x=-5y+\frac{269}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-356}{65}\\4x+5y=\frac{18}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{7}{2}-x\\6x-6y=1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{345}{11}+6x\\-x-5y=\frac{259}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-74}{9}\\-x+5y=\frac{-13}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{199}{187}\\x=-5y+\frac{-1461}{187}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{46}{7}\\5x=-y+\frac{-13}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-16}{7})\}\)
2. \(\left\{\begin{matrix}3y=\frac{109}{45}+x\\-6x-4y=\frac{-244}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{7}{5})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-437}{30}\\-x+y=\frac{133}{120}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-19}{15})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-143}{36}\\3x=y+\frac{7}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-619}{247}\\x=6y+\frac{-763}{247}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{11}{19})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-28}{9}\\2x-y=\frac{47}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-x+y=\frac{64}{221}\\-4x=-5y+\frac{269}{221}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{1}{17})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-356}{65}\\4x+5y=\frac{18}{13}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}4y=\frac{7}{2}-x\\6x-6y=1\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{345}{11}+6x\\-x-5y=\frac{259}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-16}{11})\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-74}{9}\\-x+5y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-5}{9})\}\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{199}{187}\\x=-5y+\frac{-1461}{187}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-19}{11})\}\)