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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{-576}{91}\\-2x=y+\frac{36}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=8+3x\\6x+y=11\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{71}{15}-x\\5x-2y=\frac{139}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=\frac{-65}{12}\\-4x+4y=\frac{19}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-3y=\frac{141}{10}\\-4x+y=\frac{-193}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+3y=\frac{155}{56}\\-6x+3y=\frac{-45}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-19}{12}\\5x=2y+\frac{-5}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{43}{3}+4x\\x-4y=\frac{83}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{813}{8}\\2x-6y=\frac{405}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-51}{8}\\-x+6y=9\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{241}{20}\\x+6y=\frac{433}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{8}{3}-x\\4x-6y=\frac{-28}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{-576}{91}\\-2x=y+\frac{36}{91}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-20}{13})\}\)
2. \(\left\{\begin{matrix}-5y=8+3x\\6x+y=11\end{matrix}\right.\qquad V=\{(\frac{7}{3},-3)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{71}{15}-x\\5x-2y=\frac{139}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-9}{5})\}\)
4. \(\left\{\begin{matrix}-x-3y=\frac{-65}{12}\\-4x+4y=\frac{19}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{7}{4})\}\)
5. \(\left\{\begin{matrix}5x-3y=\frac{141}{10}\\-4x+y=\frac{-193}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{17}{15})\}\)
6. \(\left\{\begin{matrix}x+3y=\frac{155}{56}\\-6x+3y=\frac{-45}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{5}{7})\}\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-19}{12}\\5x=2y+\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{12})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{43}{3}+4x\\x-4y=\frac{83}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},-2)\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{813}{8}\\2x-6y=\frac{405}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},-17)\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-51}{8}\\-x+6y=9\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{11}{8})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{241}{20}\\x+6y=\frac{433}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{7}{2})\}\)
12. \(\left\{\begin{matrix}y=\frac{8}{3}-x\\4x-6y=\frac{-28}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},2)\}\)