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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{-139}{5}\\4x+3y=\frac{-231}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{64}{15}\\-x-y=\frac{13}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{332}{15}\\x=3y+\frac{74}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=-41\\x=-y+\frac{7}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-35}{2}\\-x=y+\frac{37}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-69}{323}+4x\\-x-6y=\frac{-706}{323}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{-25}{7}\\5x=-3y+\frac{103}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-45}{4}\\-x=-y+\frac{15}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-306}{55}\\x=y+\frac{183}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{1014}{95}\\x-y=\frac{338}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{46}{15}\\-x=-5y+\frac{-1}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{333}{104}-4x\\2x-4y=\frac{27}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{-139}{5}\\4x+3y=\frac{-231}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},-13)\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{64}{15}\\-x-y=\frac{13}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{332}{15}\\x=3y+\frac{74}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-16}{5})\}\)
4. \(\left\{\begin{matrix}-5x+6y=-41\\x=-y+\frac{7}{3}\end{matrix}\right.\qquad V=\{(5,\frac{-8}{3})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-35}{2}\\-x=y+\frac{37}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},-6)\}\)
6. \(\left\{\begin{matrix}5y=\frac{-69}{323}+4x\\-x-6y=\frac{-706}{323}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{5}{17})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{-25}{7}\\5x=-3y+\frac{103}{7}\end{matrix}\right.\qquad V=\{(2,\frac{11}{7})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-45}{4}\\-x=-y+\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-306}{55}\\x=y+\frac{183}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-19}{11})\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{1014}{95}\\x-y=\frac{338}{95}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-3}{19})\}\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{46}{15}\\-x=-5y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{15})\}\)
12. \(\left\{\begin{matrix}y=\frac{333}{104}-4x\\2x-4y=\frac{27}{26}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{1}{8})\}\)