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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{173}{13}-x\\-4x-4y=\frac{-236}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{260}{21}\\5x=y+\frac{-676}{63}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{85}{152}\\3x+2y=\frac{-415}{152}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-1180}{57}-4x\\x-6y=\frac{-232}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-104}{15}\\3x+y=\frac{-343}{90}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-6y=\frac{-76}{3}\\5x=y+\frac{-167}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=-10\\x=-y+2\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{-19}{30}\\-4x=-2y+\frac{-113}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-117}{55}+2x\\-3x+4y=\frac{853}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+4y=\frac{414}{65}\\-3x=y+\frac{267}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-208}{15}+5x\\4x+2y=\frac{74}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-29}{20}+4x\\-5x-5y=\frac{-1}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{173}{13}-x\\-4x-4y=\frac{-236}{13}\end{matrix}\right.\qquad V=\{(6,\frac{-19}{13})\}\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{260}{21}\\5x=y+\frac{-676}{63}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{13}{9})\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{85}{152}\\3x+2y=\frac{-415}{152}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-1}{19})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-1180}{57}-4x\\x-6y=\frac{-232}{57}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-4}{19})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-104}{15}\\3x+y=\frac{-343}{90}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-10}{9})\}\)
6. \(\left\{\begin{matrix}5x-6y=\frac{-76}{3}\\5x=y+\frac{-167}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-5x-5y=-10\\x=-y+2\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{-19}{30}\\-4x=-2y+\frac{-113}{30}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{9}{20})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-117}{55}+2x\\-3x+4y=\frac{853}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{17}{5})\}\)
10. \(\left\{\begin{matrix}-6x+4y=\frac{414}{65}\\-3x=y+\frac{267}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-4}{13})\}\)
11. \(\left\{\begin{matrix}y=\frac{-208}{15}+5x\\4x+2y=\frac{74}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-11}{5})\}\)
12. \(\left\{\begin{matrix}y=\frac{-29}{20}+4x\\-5x-5y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-1}{4})\}\)