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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=-32-2x\\x+y=\frac{19}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-2y=\frac{-22}{7}\\5x=y+-5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{302}{77}\\x=-6y+\frac{-122}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-156}{35}\\x=-5y+\frac{59}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-157}{6}-3x\\-2x+y=\frac{65}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{548}{35}+4x\\2x-y=\frac{41}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{-29}{102}\\6x+2y=\frac{21}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+4y=\frac{21}{4}\\5x=4y+\frac{9}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{1271}{70}+5x\\-6x+y=\frac{113}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{91}{3}\\x=-5y+\frac{-343}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-1060}{171}+5x\\4x-y=\frac{929}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{17}{15}\\5x=6y+\frac{53}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=-32-2x\\x+y=\frac{19}{2}\end{matrix}\right.\qquad V=\{(1,\frac{17}{2})\}\)
2. \(\left\{\begin{matrix}4x-2y=\frac{-22}{7}\\5x=y+-5\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-5}{7})\}\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{302}{77}\\x=-6y+\frac{-122}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-1}{7})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-156}{35}\\x=-5y+\frac{59}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{9}{10})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-157}{6}-3x\\-2x+y=\frac{65}{6}\end{matrix}\right.\qquad V=\{(-4,\frac{17}{6})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{548}{35}+4x\\2x-y=\frac{41}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-18}{7})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{-29}{102}\\6x+2y=\frac{21}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{2}{17})\}\)
8. \(\left\{\begin{matrix}x+4y=\frac{21}{4}\\5x=4y+\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},1)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{1271}{70}+5x\\-6x+y=\frac{113}{35}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-16}{5})\}\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{91}{3}\\x=-5y+\frac{-343}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{12},-6)\}\)
11. \(\left\{\begin{matrix}2y=\frac{-1060}{171}+5x\\4x-y=\frac{929}{171}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{15}{19})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{17}{15}\\5x=6y+\frac{53}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-19}{15})\}\)