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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-3y=\frac{7}{3}\\3x=6y+\frac{-1}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+2y=5\\x-5y=\frac{-139}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+6y=\frac{37}{5}\\-5x=-y+\frac{39}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-3y=-5\\x-2y=\frac{-25}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+3y=\frac{249}{7}\\-x=-y+\frac{74}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-4y=\frac{183}{95}\\x=-y+\frac{-72}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{185}{221}-x\\-2x+4y=\frac{-166}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-141}{56}-2x\\x-5y=\frac{-173}{112}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=7-6x\\4x+y=\frac{4}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-23}{15}-3x\\-x-5y=\frac{-59}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=6\\-3x=-y+24\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+5y=\frac{35}{3}\\x=-4y+\frac{46}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-3y=\frac{7}{3}\\3x=6y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{9})\}\)
2. \(\left\{\begin{matrix}6x+2y=5\\x-5y=\frac{-139}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{9}{2})\}\)
3. \(\left\{\begin{matrix}2x+6y=\frac{37}{5}\\-5x=-y+\frac{39}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{5})\}\)
4. \(\left\{\begin{matrix}2x-3y=-5\\x-2y=\frac{-25}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{5}{9})\}\)
5. \(\left\{\begin{matrix}6x+3y=\frac{249}{7}\\-x=-y+\frac{74}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},11)\}\)
6. \(\left\{\begin{matrix}3x-4y=\frac{183}{95}\\x=-y+\frac{-72}{95}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-3}{5})\}\)
7. \(\left\{\begin{matrix}4y=\frac{185}{221}-x\\-2x+4y=\frac{-166}{221}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{1}{13})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-141}{56}-2x\\x-5y=\frac{-173}{112}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{1}{14})\}\)
9. \(\left\{\begin{matrix}-6y=7-6x\\4x+y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-23}{15}-3x\\-x-5y=\frac{-59}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}2x+3y=6\\-3x=-y+24\end{matrix}\right.\qquad V=\{(-6,6)\}\)
12. \(\left\{\begin{matrix}6x+5y=\frac{35}{3}\\x=-4y+\frac{46}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},1)\}\)