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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=2+4x\\-2x-y=\frac{-13}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{208}{7}\\x-2y=\frac{103}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-51}{7}\\-4x+y=\frac{-159}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=33\\-3x-y=-31\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{101}{20}\\-3x=-6y+\frac{381}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-7}{51}\\-5x=2y+\frac{-86}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{33}{5}+6x\\-x-y=\frac{23}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=4\\-4x-y=\frac{-7}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{245}{34}\\6x=-5y+\frac{-195}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-67}{3}-x\\4x-3y=\frac{56}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+5y=\frac{1}{2}\\4x-y=\frac{173}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-13}{8}\\x+4y=\frac{43}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=2+4x\\-2x-y=\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{7}{8})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{208}{7}\\x-2y=\frac{103}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-19}{4})\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-51}{7}\\-4x+y=\frac{-159}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}3x+3y=33\\-3x-y=-31\end{matrix}\right.\qquad V=\{(10,1)\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{101}{20}\\-3x=-6y+\frac{381}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{14}{5})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-7}{51}\\-5x=2y+\frac{-86}{51}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{33}{5}+6x\\-x-y=\frac{23}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-13}{15})\}\)
8. \(\left\{\begin{matrix}6x-3y=4\\-4x-y=\frac{-7}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{245}{34}\\6x=-5y+\frac{-195}{34}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-67}{3}-x\\4x-3y=\frac{56}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},-4)\}\)
11. \(\left\{\begin{matrix}3x+5y=\frac{1}{2}\\4x-y=\frac{173}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-13}{8}\\x+4y=\frac{43}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{1}{2})\}\)