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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-4y=\frac{-83}{3}\\3x=y+\frac{73}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=-2\\-6x+y=\frac{-16}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{139}{13}\\x+2y=\frac{62}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=19\\x=-3y+\frac{-23}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+5y=\frac{-269}{28}\\4x=y+\frac{-1227}{140}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{10}{7}+5x\\-x-3y=3\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{87}{14}+6x\\-4x+3y=\frac{47}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{286}{7}+5x\\-4x-y=\frac{223}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-661}{39}-3x\\x+4y=\frac{-554}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{40}{3}-2x\\x+6y=\frac{95}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-3y=\frac{-24}{7}\\x=-2y+\frac{-73}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-10+2x\\x+y=\frac{23}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-4y=\frac{-83}{3}\\3x=y+\frac{73}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{11}{3})\}\)
2. \(\left\{\begin{matrix}3x-2y=-2\\-6x+y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{12}{5})\}\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{139}{13}\\x+2y=\frac{62}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{5}{2})\}\)
4. \(\left\{\begin{matrix}6x-4y=19\\x=-3y+\frac{-23}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-4)\}\)
5. \(\left\{\begin{matrix}2x+5y=\frac{-269}{28}\\4x=y+\frac{-1227}{140}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-19}{20})\}\)
6. \(\left\{\begin{matrix}4y=\frac{10}{7}+5x\\-x-3y=3\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-5}{7})\}\)
7. \(\left\{\begin{matrix}-y=\frac{87}{14}+6x\\-4x+3y=\frac{47}{14}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{14})\}\)
8. \(\left\{\begin{matrix}6y=\frac{286}{7}+5x\\-4x-y=\frac{223}{7}\end{matrix}\right.\qquad V=\{(-8,\frac{1}{7})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-661}{39}-3x\\x+4y=\frac{-554}{39}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-11}{3})\}\)
10. \(\left\{\begin{matrix}2y=\frac{40}{3}-2x\\x+6y=\frac{95}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},5)\}\)
11. \(\left\{\begin{matrix}3x-3y=\frac{-24}{7}\\x=-2y+\frac{-73}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-19}{14})\}\)
12. \(\left\{\begin{matrix}-3y=-10+2x\\x+y=\frac{23}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{4}{5})\}\)