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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-20}{3}-4x\\x+3y=-5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{19}{5}\\5x+3y=\frac{-13}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-4y=\frac{-33}{2}\\-3x=-5y+\frac{71}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-1658}{143}+6x\\-x-y=\frac{-389}{143}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-35}{9}\\3x=-5y+\frac{-58}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=-2\\4x=-6y+\frac{-4}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-158}{63}+4x\\-2x-y=\frac{146}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{1119}{91}\\-2x=-y+\frac{-373}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{-449}{85}\\5x+2y=\frac{-398}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{267}{10}\\-2x-y=\frac{86}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+6y=\frac{49}{12}\\x-4y=\frac{-23}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-5y=-17\\x=3y+0\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-20}{3}-4x\\x+3y=-5\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{19}{5}\\5x+3y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
3. \(\left\{\begin{matrix}x-4y=\frac{-33}{2}\\-3x=-5y+\frac{71}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},2)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-1658}{143}+6x\\-x-y=\frac{-389}{143}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{13}{11})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-35}{9}\\3x=-5y+\frac{-58}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-17}{9})\}\)
6. \(\left\{\begin{matrix}-x-3y=-2\\4x=-6y+\frac{-4}{7}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-158}{63}+4x\\-2x-y=\frac{146}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-10}{7})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{1119}{91}\\-2x=-y+\frac{-373}{91}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-19}{7})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{-449}{85}\\5x+2y=\frac{-398}{85}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{3}{5})\}\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{267}{10}\\-2x-y=\frac{86}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}-4x+6y=\frac{49}{12}\\x-4y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{9}{8})\}\)
12. \(\left\{\begin{matrix}-4x-5y=-17\\x=3y+0\end{matrix}\right.\qquad V=\{(3,1)\}\)