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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+y=\frac{130}{9}\\5x-4y=\frac{155}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=14-4x\\-3x+3y=-6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{-116}{13}\\-6x=2y+\frac{-32}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-46}{85}\\x=-2y+\frac{304}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=\frac{43}{8}\\2x+6y=\frac{53}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-14}{3}\\-x=4y+7\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=14\\-5x-6y=51\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=-3\\4x+3y=\frac{-37}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=-3\\4x-5y=22\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{-345}{14}\\5x=-y+\frac{-181}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-109}{16}-3x\\-4x+2y=\frac{63}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+5y=\frac{15}{7}\\-3x-y=\frac{-16}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+y=\frac{130}{9}\\5x-4y=\frac{155}{9}\end{matrix}\right.\qquad V=\{(3,\frac{-5}{9})\}\)
2. \(\left\{\begin{matrix}-y=14-4x\\-3x+3y=-6\end{matrix}\right.\qquad V=\{(4,2)\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{-116}{13}\\-6x=2y+\frac{-32}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},-2)\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-46}{85}\\x=-2y+\frac{304}{85}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{11}{5})\}\)
5. \(\left\{\begin{matrix}-6x+y=\frac{43}{8}\\2x+6y=\frac{53}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{19}{8})\}\)
6. \(\left\{\begin{matrix}4x+6y=\frac{-14}{3}\\-x=4y+7\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-x-5y=14\\-5x-6y=51\end{matrix}\right.\qquad V=\{(-9,-1)\}\)
8. \(\left\{\begin{matrix}x-2y=-3\\4x+3y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{13}{15})\}\)
9. \(\left\{\begin{matrix}x+3y=-3\\4x-5y=22\end{matrix}\right.\qquad V=\{(3,-2)\}\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{-345}{14}\\5x=-y+\frac{-181}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},-9)\}\)
11. \(\left\{\begin{matrix}-y=\frac{-109}{16}-3x\\-4x+2y=\frac{63}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{16},10)\}\)
12. \(\left\{\begin{matrix}2x+5y=\frac{15}{7}\\-3x-y=\frac{-16}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{1}{7})\}\)