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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{498}{13}\\-x=-y+\frac{-227}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-31}{3}\\5x+y=-8\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-13}{48}\\x=-6y+\frac{143}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{677}{55}-x\\-3x+3y=\frac{-531}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{136}{5}\\-3x+y=\frac{-146}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{541}{38}\\6x=3y+\frac{867}{38}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-322}{13}\\-4x+y=\frac{-373}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-437}{40}+6x\\-x+y=\frac{-57}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-91}{6}\\5x-y=\frac{-91}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-y=-14\\-4x=6y+-24\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-72}{11}\\-4x=6y+\frac{-408}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+y=\frac{7}{10}\\3x-6y=\frac{63}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{498}{13}\\-x=-y+\frac{-227}{39}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{11}{13})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-31}{3}\\5x+y=-8\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-13}{48}\\x=-6y+\frac{143}{24}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{13}{16})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{677}{55}-x\\-3x+3y=\frac{-531}{55}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-20}{11})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{136}{5}\\-3x+y=\frac{-146}{5}\end{matrix}\right.\qquad V=\{(9,\frac{-11}{5})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{541}{38}\\6x=3y+\frac{867}{38}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-322}{13}\\-4x+y=\frac{-373}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{17}{13})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-437}{40}+6x\\-x+y=\frac{-57}{40}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{19}{8})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-91}{6}\\5x-y=\frac{-91}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-7}{3})\}\)
10. \(\left\{\begin{matrix}-4x-y=-14\\-4x=6y+-24\end{matrix}\right.\qquad V=\{(3,2)\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-72}{11}\\-4x=6y+\frac{-408}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},6)\}\)
12. \(\left\{\begin{matrix}2x+y=\frac{7}{10}\\3x-6y=\frac{63}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-7}{10})\}\)