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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=-67\\-x=y+-2\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{62}{3}\\5x=-6y+19\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{54}{7}\\-x-3y=\frac{-31}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{47}{28}\\2x=-y+\frac{-11}{56}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+5y=\frac{-871}{114}\\x=3y+\frac{557}{342}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{87}{14}\\-4x+y=\frac{36}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-135}{4}-5x\\4x+y=15\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-3}{7}\\x-y=\frac{5}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-723}{119}+3x\\-2x-2y=\frac{-426}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=37-6x\\-x+3y=-26\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{37}{7}\\3x=6y+\frac{-117}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-19}{4}-2x\\-x-4y=\frac{16}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=-67\\-x=y+-2\end{matrix}\right.\qquad V=\{(-5,7)\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{62}{3}\\5x=-6y+19\end{matrix}\right.\qquad V=\{(-3,\frac{17}{3})\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{54}{7}\\-x-3y=\frac{-31}{14}\end{matrix}\right.\qquad V=\{(2,\frac{1}{14})\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{47}{28}\\2x=-y+\frac{-11}{56}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{3}{8})\}\)
5. \(\left\{\begin{matrix}3x+5y=\frac{-871}{114}\\x=3y+\frac{557}{342}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-17}{19})\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{87}{14}\\-4x+y=\frac{36}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{15}{7})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-135}{4}-5x\\4x+y=15\end{matrix}\right.\qquad V=\{(\frac{5}{4},10)\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-3}{7}\\x-y=\frac{5}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},1)\}\)
9. \(\left\{\begin{matrix}-y=\frac{-723}{119}+3x\\-2x-2y=\frac{-426}{119}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-6}{17})\}\)
10. \(\left\{\begin{matrix}-4y=37-6x\\-x+3y=-26\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-17}{2})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{37}{7}\\3x=6y+\frac{-117}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-19}{4}-2x\\-x-4y=\frac{16}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{20})\}\)