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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{-53}{12}\\2x-3y=\frac{-187}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=-24\\-4x=-y+\frac{-32}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{20}{3}\\-5x-y=\frac{-17}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-51}{4}\\-x+6y=-5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{61}{48}\\x+6y=\frac{-73}{48}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{200}{19}+3x\\-x-5y=\frac{10}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-36}{5}\\-x-y=\frac{69}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-47}{22}-x\\3x+2y=\frac{-65}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=-37\\3x=-5y+95\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-4y=7\\x=6y+\frac{59}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{84}{85}\\x-2y=\frac{218}{85}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-163}{39}\\-x-y=\frac{-163}{78}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{-53}{12}\\2x-3y=\frac{-187}{12}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}-2x-6y=-24\\-4x=-y+\frac{-32}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{16}{5})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{20}{3}\\-5x-y=\frac{-17}{3}\end{matrix}\right.\qquad V=\{(1,\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-51}{4}\\-x+6y=-5\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{61}{48}\\x+6y=\frac{-73}{48}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-7}{18})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{200}{19}+3x\\-x-5y=\frac{10}{19}\end{matrix}\right.\qquad V=\{(-5,\frac{17}{19})\}\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-36}{5}\\-x-y=\frac{69}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},-10)\}\)
8. \(\left\{\begin{matrix}y=\frac{-47}{22}-x\\3x+2y=\frac{-65}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-5x+y=-37\\3x=-5y+95\end{matrix}\right.\qquad V=\{(10,13)\}\)
10. \(\left\{\begin{matrix}5x-4y=7\\x=6y+\frac{59}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-2)\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{84}{85}\\x-2y=\frac{218}{85}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-9}{10})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-163}{39}\\-x-y=\frac{-163}{78}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{12}{13})\}\)