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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=\frac{39}{5}\\-5x=y+\frac{28}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-174}{85}\\-5x-y=\frac{-59}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-5y=-22\\-6x=-y+\frac{246}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{469}{228}-x\\6x+6y=\frac{-253}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-2y=\frac{41}{14}\\-x-5y=\frac{-139}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-77}{3}+2x\\-x+3y=\frac{-77}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-74}{51}\\-x=-y+\frac{149}{102}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{226}{15}\\-x=-y+\frac{-41}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-91}{15}-3x\\-x-y=\frac{94}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{614}{17}\\-x=6y+\frac{-1835}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{52}{77}\\-2x=4y+\frac{-472}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+y=\frac{54}{7}\\-4x=-2y+\frac{-236}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=\frac{39}{5}\\-5x=y+\frac{28}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{5})\}\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-174}{85}\\-5x-y=\frac{-59}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}2x-5y=-22\\-6x=-y+\frac{246}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}-y=\frac{469}{228}-x\\6x+6y=\frac{-253}{38}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-19}{12})\}\)
5. \(\left\{\begin{matrix}-5x-2y=\frac{41}{14}\\-x-5y=\frac{-139}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{16}{7})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-77}{3}+2x\\-x+3y=\frac{-77}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{6},-4)\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-74}{51}\\-x=-y+\frac{149}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{7}{6})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{226}{15}\\-x=-y+\frac{-41}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-19}{9})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-91}{15}-3x\\-x-y=\frac{94}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{614}{17}\\-x=6y+\frac{-1835}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},18)\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{52}{77}\\-2x=4y+\frac{-472}{77}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{20}{11})\}\)
12. \(\left\{\begin{matrix}6x+y=\frac{54}{7}\\-4x=-2y+\frac{-236}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-16}{7})\}\)