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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+4y=-71\\-x-y=-16\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=-35+3x\\x-6y=-31\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-64}{19}\\x=-2y+\frac{35}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{125}{84}+5x\\6x+y=\frac{-59}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-519}{13}+2x\\-3x-y=\frac{-736}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-14}{3}+2x\\2x+3y=\frac{40}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{195}{14}\\-2x=-y+\frac{97}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-55}{3}+6x\\-3x-2y=\frac{-85}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-5y=\frac{1233}{104}\\-2x=-3y+\frac{-919}{104}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{63}{5}-x\\6x-5y=\frac{-57}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-48}{7}+4x\\x+y=\frac{-2}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{13}{2}-x\\2x-4y=\frac{-31}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+4y=-71\\-x-y=-16\end{matrix}\right.\qquad V=\{(15,1)\}\)
2. \(\left\{\begin{matrix}-6y=-35+3x\\x-6y=-31\end{matrix}\right.\qquad V=\{(1,\frac{16}{3})\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-64}{19}\\x=-2y+\frac{35}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{9}{19})\}\)
4. \(\left\{\begin{matrix}2y=\frac{125}{84}+5x\\6x+y=\frac{-59}{14}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-5}{7})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-519}{13}+2x\\-3x-y=\frac{-736}{13}\end{matrix}\right.\qquad V=\{(19,\frac{-5}{13})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-14}{3}+2x\\2x+3y=\frac{40}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{13}{3})\}\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{195}{14}\\-2x=-y+\frac{97}{28}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{7}{4})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-55}{3}+6x\\-3x-2y=\frac{-85}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{10}{3})\}\)
9. \(\left\{\begin{matrix}x-5y=\frac{1233}{104}\\-2x=-3y+\frac{-919}{104}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{-17}{8})\}\)
10. \(\left\{\begin{matrix}4y=\frac{63}{5}-x\\6x-5y=\frac{-57}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},3)\}\)
11. \(\left\{\begin{matrix}4y=\frac{-48}{7}+4x\\x+y=\frac{-2}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},-1)\}\)
12. \(\left\{\begin{matrix}2y=\frac{13}{2}-x\\2x-4y=\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{12}{5})\}\)