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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-1246}{17}\\-x=2y+\frac{-189}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{109}{30}\\-6x+y=\frac{99}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{55}{4}-2x\\-3x-y=\frac{-209}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-10}{3}+x\\6x+5y=\frac{2}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{35}{6}-4x\\-6x+2y=\frac{-7}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{213}{10}\\3x-y=\frac{-123}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-69}{14}\\x=y+\frac{103}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+6y=5\\-5x=-5y+\frac{25}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+3y=15\\-x=-y+5\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-6y=\frac{-82}{5}\\-6x+y=\frac{89}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{112}{65}+3x\\3x-y=\frac{-86}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-6y=\frac{276}{7}\\-2x+y=\frac{-57}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-1246}{17}\\-x=2y+\frac{-189}{17}\end{matrix}\right.\qquad V=\{(13,\frac{-16}{17})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{109}{30}\\-6x+y=\frac{99}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-1}{10})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{55}{4}-2x\\-3x-y=\frac{-209}{12}\end{matrix}\right.\qquad V=\{(6,\frac{-7}{12})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-10}{3}+x\\6x+5y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}y=\frac{35}{6}-4x\\-6x+2y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(1,\frac{11}{6})\}\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{213}{10}\\3x-y=\frac{-123}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{9}{4})\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-69}{14}\\x=y+\frac{103}{42}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-11}{3})\}\)
8. \(\left\{\begin{matrix}-x+6y=5\\-5x=-5y+\frac{25}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}-3x+3y=15\\-x=-y+5\end{matrix}\right.\qquad V=\{(-12,-7)\}\)
10. \(\left\{\begin{matrix}4x-6y=\frac{-82}{5}\\-6x+y=\frac{89}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{7}{3})\}\)
11. \(\left\{\begin{matrix}2y=\frac{112}{65}+3x\\3x-y=\frac{-86}{65}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}6x-6y=\frac{276}{7}\\-2x+y=\frac{-57}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},-5)\}\)