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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=-8\\-2x=y+5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{21}{52}\\-4x=-y+\frac{-353}{104}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{94}{13}\\x+2y=\frac{19}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=-8\\-6x+y=\frac{71}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{-15}{2}\\3x-5y=\frac{-51}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{5}{4}-2x\\-x-5y=\frac{-19}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-197}{8}-4x\\-x-2y=\frac{25}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-271}{95}\\x-3y=\frac{-563}{190}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=\frac{62}{7}\\-6x-y=\frac{-44}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+y=\frac{79}{45}\\6x=4y+\frac{8}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=6+3x\\x+4y=-7\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{23}{7}\\5x-4y=\frac{169}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=-8\\-2x=y+5\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{21}{52}\\-4x=-y+\frac{-353}{104}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{94}{13}\\x+2y=\frac{19}{13}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},1)\}\)
4. \(\left\{\begin{matrix}5x+4y=-8\\-6x+y=\frac{71}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{8})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{-15}{2}\\3x-5y=\frac{-51}{4}\end{matrix}\right.\qquad V=\{(-3,\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}5y=\frac{5}{4}-2x\\-x-5y=\frac{-19}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{7}{10})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-197}{8}-4x\\-x-2y=\frac{25}{4}\end{matrix}\right.\qquad V=\{(-6,\frac{-1}{8})\}\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-271}{95}\\x-3y=\frac{-563}{190}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{9}{10})\}\)
9. \(\left\{\begin{matrix}4x-4y=\frac{62}{7}\\-6x-y=\frac{-44}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{14},-1)\}\)
10. \(\left\{\begin{matrix}3x+y=\frac{79}{45}\\6x=4y+\frac{8}{45}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{5}{9})\}\)
11. \(\left\{\begin{matrix}-6y=6+3x\\x+4y=-7\end{matrix}\right.\qquad V=\{(3,\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{23}{7}\\5x-4y=\frac{169}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{19}{14})\}\)