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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{26}{7}\\x+4y=\frac{6}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-14}{5}+6x\\5x-y=\frac{14}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+6y=\frac{-166}{45}\\-x+6y=\frac{-241}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{-211}{45}\\3x+4y=\frac{32}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{-493}{65}\\5x-4y=\frac{-593}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-53}{17}\\-5x=6y+\frac{-157}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-23}{5}+5x\\x+y=\frac{6}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-273}{170}+2x\\3x-2y=\frac{1169}{340}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-1318}{323}+4x\\-4x+4y=\frac{-808}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-164}{15}\\x=y+\frac{61}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=\frac{216}{65}\\2x=-6y+\frac{-308}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{226}{21}-6x\\-x+y=\frac{-152}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{26}{7}\\x+4y=\frac{6}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-14}{5}+6x\\5x-y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{7}{10})\}\)
3. \(\left\{\begin{matrix}2x+6y=\frac{-166}{45}\\-x+6y=\frac{-241}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{-211}{45}\\3x+4y=\frac{32}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{7}{9})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{-493}{65}\\5x-4y=\frac{-593}{65}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{9}{5})\}\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-53}{17}\\-5x=6y+\frac{-157}{17}\end{matrix}\right.\qquad V=\{(1,\frac{12}{17})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-23}{5}+5x\\x+y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(1,\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-273}{170}+2x\\3x-2y=\frac{1169}{340}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-5}{17})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-1318}{323}+4x\\-4x+4y=\frac{-808}{323}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{6}{19})\}\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-164}{15}\\x=y+\frac{61}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}6x-y=\frac{216}{65}\\2x=-6y+\frac{-308}{65}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-12}{13})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{226}{21}-6x\\-x+y=\frac{-152}{63}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-13}{7})\}\)