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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{-1116}{85}\\-x-6y=\frac{-716}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-311}{304}+x\\6x+2y=\frac{-1195}{152}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{137}{16}\\-x+3y=\frac{85}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{96}{5}\\-x+4y=\frac{-103}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+2y=\frac{17}{3}\\x=-3y+5\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{591}{5}\\-5x=y+-12\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=-31\\-x-4y=23\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+4y=\frac{169}{7}\\-x=2y+\frac{-205}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{-21}{20}\\-5x=y+\frac{-43}{120}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{587}{112}-4x\\-x-6y=\frac{-251}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-3y=\frac{-796}{95}\\-x-6y=\frac{-827}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+2y=\frac{14}{3}\\-x=-y+\frac{7}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{-1116}{85}\\-x-6y=\frac{-716}{85}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-311}{304}+x\\6x+2y=\frac{-1195}{152}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-7}{19})\}\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{137}{16}\\-x+3y=\frac{85}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},2)\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{96}{5}\\-x+4y=\frac{-103}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-11}{2})\}\)
5. \(\left\{\begin{matrix}3x+2y=\frac{17}{3}\\x=-3y+5\end{matrix}\right.\qquad V=\{(1,\frac{4}{3})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{591}{5}\\-5x=y+-12\end{matrix}\right.\qquad V=\{(\frac{-7}{5},19)\}\)
7. \(\left\{\begin{matrix}-2x+6y=-31\\-x-4y=23\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{2})\}\)
8. \(\left\{\begin{matrix}4x+4y=\frac{169}{7}\\-x=2y+\frac{-205}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{9}{7})\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{-21}{20}\\-5x=y+\frac{-43}{120}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-4}{15})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{587}{112}-4x\\-x-6y=\frac{-251}{56}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{7}{16})\}\)
11. \(\left\{\begin{matrix}4x-3y=\frac{-796}{95}\\-x-6y=\frac{-827}{95}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{8}{5})\}\)
12. \(\left\{\begin{matrix}5x+2y=\frac{14}{3}\\-x=-y+\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{15},1)\}\)