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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-49}{19}-4x\\3x+4y=\frac{31}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-1009}{34}\\x=5y+\frac{-1137}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{503}{65}\\x=-2y+\frac{-577}{260}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{55}{28}\\x-6y=\frac{1}{112}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+3y=\frac{46}{63}\\4x=-2y+\frac{194}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=1+4x\\-3x+y=\frac{-7}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{6}{35}-6x\\x+5y=\frac{197}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+y=\frac{-15}{13}\\3x=3y+\frac{75}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+5y=\frac{205}{36}\\6x+y=\frac{73}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=-18-x\\-6x+4y=-28\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-201}{55}-3x\\-x-6y=\frac{-258}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+y=\frac{61}{2}\\2x+5y=\frac{-35}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-49}{19}-4x\\3x+4y=\frac{31}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{19})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-1009}{34}\\x=5y+\frac{-1137}{34}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{13}{2})\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{503}{65}\\x=-2y+\frac{-577}{260}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-18}{13})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{55}{28}\\x-6y=\frac{1}{112}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{1}{14})\}\)
5. \(\left\{\begin{matrix}-x+3y=\frac{46}{63}\\4x=-2y+\frac{194}{63}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{3}{7})\}\)
6. \(\left\{\begin{matrix}3y=1+4x\\-3x+y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{16}{15})\}\)
7. \(\left\{\begin{matrix}4y=\frac{6}{35}-6x\\x+5y=\frac{197}{70}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{9}{14})\}\)
8. \(\left\{\begin{matrix}x+y=\frac{-15}{13}\\3x=3y+\frac{75}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-20}{13})\}\)
9. \(\left\{\begin{matrix}5x+5y=\frac{205}{36}\\6x+y=\frac{73}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{5}{9})\}\)
10. \(\left\{\begin{matrix}5y=-18-x\\-6x+4y=-28\end{matrix}\right.\qquad V=\{(2,-4)\}\)
11. \(\left\{\begin{matrix}3y=\frac{-201}{55}-3x\\-x-6y=\frac{-258}{55}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{13}{11})\}\)
12. \(\left\{\begin{matrix}-3x+y=\frac{61}{2}\\2x+5y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(-10,\frac{1}{2})\}\)