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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-23}{3}-6x\\-3x-4y=\frac{-11}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{18}{7}\\x=y+\frac{61}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{69}{19}-3x\\-x-y=\frac{7}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-49}{5}\\-x-6y=-10\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{81}{2}-6x\\-6x-4y=-36\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{19}{8}\\-3x+5y=\frac{-23}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{31}{13}\\2x-6y=\frac{-116}{39}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-2y=\frac{-109}{21}\\x=-y+\frac{146}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=-58\\-4x+2y=-12\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{119}{12}\\-x=-6y+\frac{-17}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+5y=\frac{-123}{44}\\x+5y=\frac{117}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{46}{35}-3x\\-4x+y=\frac{177}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-23}{3}-6x\\-3x-4y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{18}{7}\\x=y+\frac{61}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{69}{19}-3x\\-x-y=\frac{7}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{-10}{19})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-49}{5}\\-x-6y=-10\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{17}{10})\}\)
5. \(\left\{\begin{matrix}y=\frac{81}{2}-6x\\-6x-4y=-36\end{matrix}\right.\qquad V=\{(7,\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{19}{8}\\-3x+5y=\frac{-23}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{16})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{31}{13}\\2x-6y=\frac{-116}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{5}{13})\}\)
8. \(\left\{\begin{matrix}3x-2y=\frac{-109}{21}\\x=-y+\frac{146}{63}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{17}{7})\}\)
9. \(\left\{\begin{matrix}-x+6y=-58\\-4x+2y=-12\end{matrix}\right.\qquad V=\{(-2,-10)\}\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{119}{12}\\-x=-6y+\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-11}{12})\}\)
11. \(\left\{\begin{matrix}6x+5y=\frac{-123}{44}\\x+5y=\frac{117}{44}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}2y=\frac{46}{35}-3x\\-4x+y=\frac{177}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{13}{7})\}\)