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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{35}{4}-5x\\-6x-y=0\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-y=4\\-4x=-5y+\frac{-1}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-87}{10}\\x-2y=\frac{-221}{40}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{83}{63}\\-2x-6y=\frac{-547}{63}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=6+5x\\2x+y=\frac{-8}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-55}{2}-6x\\-3x-4y=\frac{335}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{31}{7}\\3x=-6y+\frac{-135}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-38}{7}\\x-y=\frac{19}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+5y=\frac{11}{4}\\x-3y=\frac{47}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{-637}{88}\\-6x=-5y+\frac{443}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{3}{5}+2x\\3x-y=\frac{37}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{43}{6}\\-x=-6y+\frac{227}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{35}{4}-5x\\-6x-y=0\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-2x-y=4\\-4x=-5y+\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{-7}{6})\}\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-87}{10}\\x-2y=\frac{-221}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{11}{5})\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{83}{63}\\-2x-6y=\frac{-547}{63}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{10}{7})\}\)
5. \(\left\{\begin{matrix}-2y=6+5x\\2x+y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}y=\frac{-55}{2}-6x\\-3x-4y=\frac{335}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},-20)\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{31}{7}\\3x=-6y+\frac{-135}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},-2)\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-38}{7}\\x-y=\frac{19}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{1}{7})\}\)
9. \(\left\{\begin{matrix}5x+5y=\frac{11}{4}\\x-3y=\frac{47}{20}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{20})\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{-637}{88}\\-6x=-5y+\frac{443}{44}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{4}{11})\}\)
11. \(\left\{\begin{matrix}6y=\frac{3}{5}+2x\\3x-y=\frac{37}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{4}{15})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{43}{6}\\-x=-6y+\frac{227}{18}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{9}{4})\}\)