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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{282}{85}-3x\\-3x+4y=\frac{-588}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-4y=-32\\-5x=2y+-70\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{18}{11}+4x\\-4x-4y=\frac{-92}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{28}{5}+2x\\6x-y=\frac{-7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{57}{10}\\-2x+y=\frac{-43}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{71}{2}\\2x+y=\frac{-37}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=-77+6x\\5x-y=\frac{88}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=-5\\x-5y=\frac{-19}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-79}{2}\\-3x=-5y+\frac{-65}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-560}{143}\\x=-y+\frac{305}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=2\\-6x+4y=\frac{68}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-6-2x\\5x+y=\frac{-5}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{282}{85}-3x\\-3x+4y=\frac{-588}{85}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}-x-4y=-32\\-5x=2y+-70\end{matrix}\right.\qquad V=\{(12,5)\}\)
3. \(\left\{\begin{matrix}y=\frac{18}{11}+4x\\-4x-4y=\frac{-92}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{11},2)\}\)
4. \(\left\{\begin{matrix}-6y=\frac{28}{5}+2x\\6x-y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-7}{10})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{57}{10}\\-2x+y=\frac{-43}{20}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{71}{2}\\2x+y=\frac{-37}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-17)\}\)
7. \(\left\{\begin{matrix}5y=-77+6x\\5x-y=\frac{88}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{3},-11)\}\)
8. \(\left\{\begin{matrix}2x-5y=-5\\x-5y=\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{9}{10})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-79}{2}\\-3x=-5y+\frac{-65}{2}\end{matrix}\right.\qquad V=\{(10,\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-560}{143}\\x=-y+\frac{305}{143}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{10}{13})\}\)
11. \(\left\{\begin{matrix}-x+6y=2\\-6x+4y=\frac{68}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}-3y=-6-2x\\5x+y=\frac{-5}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{3})\}\)