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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{8}{3}\\3x-2y=\frac{-169}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-y=\frac{-305}{39}\\4x=2y+\frac{110}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=6-5x\\x+y=\frac{9}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-217}{20}\\6x=3y+\frac{147}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{260}{7}+2x\\x+4y=\frac{-407}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{-9}{2}\\-2x-4y=\frac{-27}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{19}{6}\\-2x=y+\frac{25}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{-227}{195}\\-x+6y=\frac{177}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-45}{7}+3x\\-x+y=\frac{-13}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-13}{4}\\x-2y=\frac{-7}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{341}{28}\\-x=5y+\frac{821}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-3y=-8\\5x=5y+-10\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{8}{3}\\3x-2y=\frac{-169}{15}\end{matrix}\right.\qquad V=\{(-3,\frac{17}{15})\}\)
2. \(\left\{\begin{matrix}-4x-y=\frac{-305}{39}\\4x=2y+\frac{110}{39}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}2y=6-5x\\x+y=\frac{9}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},1)\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-217}{20}\\6x=3y+\frac{147}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-12}{5})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{260}{7}+2x\\x+4y=\frac{-407}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},-7)\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{-9}{2}\\-2x-4y=\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{3}{5})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{19}{6}\\-2x=y+\frac{25}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{6})\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{-227}{195}\\-x+6y=\frac{177}{65}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{7}{15})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-45}{7}+3x\\-x+y=\frac{-13}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{7})\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-13}{4}\\x-2y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{4})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{341}{28}\\-x=5y+\frac{821}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-20}{7})\}\)
12. \(\left\{\begin{matrix}x-3y=-8\\5x=5y+-10\end{matrix}\right.\qquad V=\{(1,3)\}\)