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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+6y=\frac{171}{77}\\4x=y+\frac{-564}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{-349}{57}\\-4x+y=\frac{-515}{171}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{-670}{13}\\x=4y+\frac{-952}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-3y=\frac{629}{21}\\-3x=-y+\frac{-129}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+y=\frac{-35}{4}\\-4x=5y+43\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-32}{3}+5x\\-x+y=\frac{-29}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-3}{7}\\x=-6y+3\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=15+2x\\x-6y=\frac{-51}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{1711}{165}\\-x+2y=\frac{-713}{165}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{1}{30}\\3x+y=\frac{39}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-326}{85}\\5x+y=\frac{-6}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-234}{11}\\-4x-y=\frac{-152}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+6y=\frac{171}{77}\\4x=y+\frac{-564}{77}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{8}{7})\}\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{-349}{57}\\-4x+y=\frac{-515}{171}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{7}{9})\}\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{-670}{13}\\x=4y+\frac{-952}{13}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},18)\}\)
4. \(\left\{\begin{matrix}5x-3y=\frac{629}{21}\\-3x=-y+\frac{-129}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{4}{7})\}\)
5. \(\left\{\begin{matrix}x+y=\frac{-35}{4}\\-4x=5y+43\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-8)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-32}{3}+5x\\-x+y=\frac{-29}{30}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-3}{7}\\x=-6y+3\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{4}{7})\}\)
8. \(\left\{\begin{matrix}4y=15+2x\\x-6y=\frac{-51}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{9}{2})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{1711}{165}\\-x+2y=\frac{-713}{165}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{-19}{11})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{1}{30}\\3x+y=\frac{39}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{-1}{4})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-326}{85}\\5x+y=\frac{-6}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{11}{17})\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-234}{11}\\-4x-y=\frac{-152}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{11},12)\}\)