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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-y=\frac{37}{7}\\-6x+2y=\frac{24}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-25}{2}\\-x=-2y+\frac{3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{388}{95}+x\\6x-5y=\frac{-479}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{54}{7}+6x\\-x+5y=\frac{-215}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{75}{28}\\6x+4y=\frac{3}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-351}{14}-6x\\x-y=\frac{-51}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-747}{182}\\3x+y=\frac{305}{182}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+6y=\frac{-157}{204}\\-2x-4y=\frac{-61}{102}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{4}{3}\\-x=-5y+\frac{-7}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-y=\frac{-6}{7}\\5x+4y=\frac{-93}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=-10\\-2x=2y+4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+5y=\frac{53}{6}\\5x=5y+\frac{-35}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-y=\frac{37}{7}\\-6x+2y=\frac{24}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-9}{7})\}\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-25}{2}\\-x=-2y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}2y=\frac{388}{95}+x\\6x-5y=\frac{-479}{38}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{17}{10})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{54}{7}+6x\\-x+5y=\frac{-215}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},-6)\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{75}{28}\\6x+4y=\frac{3}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-351}{14}-6x\\x-y=\frac{-51}{14}\end{matrix}\right.\qquad V=\{(-4,\frac{-5}{14})\}\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{-747}{182}\\3x+y=\frac{305}{182}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{17}{14})\}\)
8. \(\left\{\begin{matrix}-x+6y=\frac{-157}{204}\\-2x-4y=\frac{-61}{102}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-1}{17})\}\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{4}{3}\\-x=-5y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}2x-y=\frac{-6}{7}\\5x+4y=\frac{-93}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-12}{7})\}\)
11. \(\left\{\begin{matrix}x+3y=-10\\-2x=2y+4\end{matrix}\right.\qquad V=\{(2,-4)\}\)
12. \(\left\{\begin{matrix}x+5y=\frac{53}{6}\\5x=5y+\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{5}{3})\}\)