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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-1}{2}\\-5x=-2y+-8\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-4y=\frac{-10}{9}\\x-y=\frac{-2}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-6y=41\\6x+y=\frac{7}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{22}{7}\\-x-3y=\frac{1}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{88}{133}\\-3x=y+\frac{-101}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{53}{24}\\-x-4y=\frac{199}{144}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-242}{117}\\x=-5y+\frac{-11}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{-39}{8}\\x=-y+\frac{-21}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{59}{7}-5x\\x+2y=1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-124}{33}\\x=y+\frac{-31}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-81}{35}\\x-5y=\frac{-39}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-36}{35}-6x\\5x+y=\frac{-8}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-1}{2}\\-5x=-2y+-8\end{matrix}\right.\qquad V=\{(1,\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}2x-4y=\frac{-10}{9}\\x-y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-5x-6y=41\\6x+y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(2,\frac{-17}{2})\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{22}{7}\\-x-3y=\frac{1}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{2}{7})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{88}{133}\\-3x=y+\frac{-101}{133}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-10}{19})\}\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{53}{24}\\-x-4y=\frac{199}{144}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-1}{9})\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-242}{117}\\x=-5y+\frac{-11}{117}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{-39}{8}\\x=-y+\frac{-21}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-17}{16})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{59}{7}-5x\\x+2y=1\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-3}{14})\}\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-124}{33}\\x=y+\frac{-31}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{14}{11})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-81}{35}\\x-5y=\frac{-39}{35}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{1}{7})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-36}{35}-6x\\5x+y=\frac{-8}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-5}{7})\}\)