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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{7}{2}+4x\\2x+2y=\frac{-31}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-2y=\frac{17}{7}\\6x=-y+\frac{109}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-262}{7}-2x\\-x-3y=\frac{131}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-296}{187}+4x\\5x+y=\frac{-1262}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-4y=4\\-6x-y=7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+5y=\frac{-113}{2}\\5x=y+\frac{-179}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=-29\\-6x-4y=-46\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{38}{153}\\x-y=\frac{44}{153}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{-151}{26}\\5x=-4y+\frac{-266}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{-19}{24}\\2x-y=\frac{-47}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{-333}{209}\\x=-6y+\frac{1879}{209}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{71}{10}-5x\\4x-y=\frac{73}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{7}{2}+4x\\2x+2y=\frac{-31}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-15}{14})\}\)
2. \(\left\{\begin{matrix}2x-2y=\frac{17}{7}\\6x=-y+\frac{109}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{1}{14})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-262}{7}-2x\\-x-3y=\frac{131}{7}\end{matrix}\right.\qquad V=\{(-14,\frac{-11}{7})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-296}{187}+4x\\5x+y=\frac{-1262}{187}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-16}{11})\}\)
5. \(\left\{\begin{matrix}-6x-4y=4\\-6x-y=7\end{matrix}\right.\qquad V=\{(\frac{-4}{3},1)\}\)
6. \(\left\{\begin{matrix}3x+5y=\frac{-113}{2}\\5x=y+\frac{-179}{2}\end{matrix}\right.\qquad V=\{(-18,\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-4x-y=-29\\-6x-4y=-46\end{matrix}\right.\qquad V=\{(7,1)\}\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{38}{153}\\x-y=\frac{44}{153}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{14}{17})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{-151}{26}\\5x=-4y+\frac{-266}{13}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-11}{2})\}\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{-19}{24}\\2x-y=\frac{-47}{48}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-11}{16})\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{-333}{209}\\x=-6y+\frac{1879}{209}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{16}{11})\}\)
12. \(\left\{\begin{matrix}6y=\frac{71}{10}-5x\\4x-y=\frac{73}{20}\end{matrix}\right.\qquad V=\{(1,\frac{7}{20})\}\)