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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{43}{14}-5x\\-4x+5y=\frac{-299}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-5y=\frac{5}{323}\\-2x-y=\frac{-740}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{1172}{95}\\-6x=-y+\frac{1711}{285}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-8}{5}+4x\\x+6y=\frac{23}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-135}{68}\\2x+y=\frac{-147}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=-5-2x\\4x-y=5\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{620}{187}-3x\\-2x-3y=\frac{-670}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-y=\frac{51}{14}\\6x-6y=\frac{-27}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{47}{2}\\-5x=6y+124\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=-87-5x\\x-3y=\frac{-121}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-4y=\frac{-23}{7}\\5x+y=\frac{-27}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{223}{12}-x\\4x-3y=18\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{43}{14}-5x\\-4x+5y=\frac{-299}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}3x-5y=\frac{5}{323}\\-2x-y=\frac{-740}{323}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{10}{19})\}\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{1172}{95}\\-6x=-y+\frac{1711}{285}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{19}{15})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-8}{5}+4x\\x+6y=\frac{23}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{14}{15})\}\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-135}{68}\\2x+y=\frac{-147}{68}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}-2y=-5-2x\\4x-y=5\end{matrix}\right.\qquad V=\{(\frac{5}{2},5)\}\)
7. \(\left\{\begin{matrix}y=\frac{620}{187}-3x\\-2x-3y=\frac{-670}{187}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{10}{17})\}\)
8. \(\left\{\begin{matrix}-5x-y=\frac{51}{14}\\6x-6y=\frac{-27}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-1}{14})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{47}{2}\\-5x=6y+124\end{matrix}\right.\qquad V=\{(-17,\frac{-13}{2})\}\)
10. \(\left\{\begin{matrix}-5y=-87-5x\\x-3y=\frac{-121}{5}\end{matrix}\right.\qquad V=\{(-14,\frac{17}{5})\}\)
11. \(\left\{\begin{matrix}2x-4y=\frac{-23}{7}\\5x+y=\frac{-27}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{7})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{223}{12}-x\\4x-3y=18\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-13}{3})\}\)