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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{19}{24}\\-2x-2y=\frac{5}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-384}{209}\\x=3y+\frac{-37}{209}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{352}{51}\\-4x-y=\frac{-592}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-25}{3}\\-x=6y+\frac{-11}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{66}{35}\\-4x=4y+\frac{256}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-21}{13}\\5x=y+\frac{76}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{28}{19}\\x+y=\frac{-16}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{-283}{154}\\4x-3y=\frac{162}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{391}{56}+3x\\x-y=\frac{-37}{56}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-268}{35}\\-x=-y+\frac{-157}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-79}{120}+x\\-5x-3y=\frac{-337}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+3y=\frac{195}{112}\\x=y+\frac{191}{112}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{19}{24}\\-2x-2y=\frac{5}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{1}{8})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-384}{209}\\x=3y+\frac{-37}{209}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{2}{11})\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{352}{51}\\-4x-y=\frac{-592}{51}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{16}{17})\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-25}{3}\\-x=6y+\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-2}{9})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{66}{35}\\-4x=4y+\frac{256}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-13}{14})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-21}{13}\\5x=y+\frac{76}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{13})\}\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{28}{19}\\x+y=\frac{-16}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-4}{19})\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{-283}{154}\\4x-3y=\frac{162}{77}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{8}{11})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{391}{56}+3x\\x-y=\frac{-37}{56}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-5}{7})\}\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-268}{35}\\-x=-y+\frac{-157}{35}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-9}{7})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-79}{120}+x\\-5x-3y=\frac{-337}{40}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-11}{15})\}\)
12. \(\left\{\begin{matrix}3x+3y=\frac{195}{112}\\x=y+\frac{191}{112}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-9}{16})\}\)