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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{-9}{8}\\-x-4y=\frac{51}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+y=\frac{3}{2}\\5x-3y=\frac{1}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+4y=-14\\-3x=2y+-3\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+2y=\frac{69}{14}\\x=6y+\frac{81}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{190}{33}\\-4x-y=\frac{-83}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=-11\\-4x-4y=-36\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-21}{5}-x\\-4x-6y=\frac{34}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{-1}{5}\\4x=-5y+\frac{-49}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-355}{182}-6x\\-x+4y=\frac{61}{91}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-59}{22}+x\\-4x-3y=\frac{-4}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-33}{16}\\-6x=y+\frac{-99}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{33}{5}\\2x=-y+\frac{-9}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{-9}{8}\\-x-4y=\frac{51}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},-1)\}\)
2. \(\left\{\begin{matrix}-5x+y=\frac{3}{2}\\5x-3y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-1)\}\)
3. \(\left\{\begin{matrix}x+4y=-14\\-3x=2y+-3\end{matrix}\right.\qquad V=\{(4,\frac{-9}{2})\}\)
4. \(\left\{\begin{matrix}5x+2y=\frac{69}{14}\\x=6y+\frac{81}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{190}{33}\\-4x-y=\frac{-83}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{13}{11})\}\)
6. \(\left\{\begin{matrix}-4x+y=-11\\-4x-4y=-36\end{matrix}\right.\qquad V=\{(4,5)\}\)
7. \(\left\{\begin{matrix}3y=\frac{-21}{5}-x\\-4x-6y=\frac{34}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{3})\}\)
8. \(\left\{\begin{matrix}x-y=\frac{-1}{5}\\4x=-5y+\frac{-49}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},-1)\}\)
9. \(\left\{\begin{matrix}5y=\frac{-355}{182}-6x\\-x+4y=\frac{61}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{1}{14})\}\)
10. \(\left\{\begin{matrix}4y=\frac{-59}{22}+x\\-4x-3y=\frac{-4}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-6}{11})\}\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-33}{16}\\-6x=y+\frac{-99}{16}\end{matrix}\right.\qquad V=\{(1,\frac{3}{16})\}\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{33}{5}\\2x=-y+\frac{-9}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{6}{5})\}\)