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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=\frac{147}{2}\\x=-4y+-28\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-3y=\frac{23}{5}\\2x=3y+\frac{43}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-17}{6}\\-2x=-y+\frac{-1}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-47}{3}\\6x-y=-17\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-59}{17}\\-x=-4y+\frac{-33}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{287}{102}\\4x-4y=\frac{-322}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{44}{45}-2x\\-3x+y=\frac{-106}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+4y=\frac{85}{9}\\-x=4y+\frac{-28}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{321}{70}\\-3x=-y+\frac{573}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+4y=\frac{-107}{16}\\2x-y=\frac{1}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-67}{9}\\-x+y=\frac{-53}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{415}{72}\\3x=-5y+\frac{323}{48}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=\frac{147}{2}\\x=-4y+-28\end{matrix}\right.\qquad V=\{(-10,\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}-x-3y=\frac{23}{5}\\2x=3y+\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-17}{6}\\-2x=-y+\frac{-1}{30}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-11}{10})\}\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-47}{3}\\6x-y=-17\end{matrix}\right.\qquad V=\{(\frac{-8}{3},1)\}\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-59}{17}\\-x=-4y+\frac{-33}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{17})\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{287}{102}\\4x-4y=\frac{-322}{51}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{7}{6})\}\)
7. \(\left\{\begin{matrix}2y=\frac{44}{45}-2x\\-3x+y=\frac{-106}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-7}{5})\}\)
8. \(\left\{\begin{matrix}4x+4y=\frac{85}{9}\\-x=4y+\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{1}{4})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{321}{70}\\-3x=-y+\frac{573}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{9}{10})\}\)
10. \(\left\{\begin{matrix}5x+4y=\frac{-107}{16}\\2x-y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-67}{9}\\-x+y=\frac{-53}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-7}{5})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{415}{72}\\3x=-5y+\frac{323}{48}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{13}{16})\}\)