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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-y=\frac{95}{18}\\5x-6y=\frac{167}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{199}{15}+2x\\-3x+5y=\frac{73}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{82}{5}\\2x-2y=\frac{-92}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-463}{6}\\-3x=-5y+\frac{-307}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{-65}{6}\\-5x+y=\frac{-23}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{-19}{35}\\-3x=y+\frac{31}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{41}{8}+3x\\5x+6y=\frac{-61}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{40}{9}\\4x-y=\frac{-89}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-303}{65}+3x\\x-3y=\frac{-3}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{457}{57}\\x+4y=\frac{-52}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+3y=\frac{5}{16}\\x+y=\frac{1}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-6y=\frac{-70}{9}\\-2x-4y=\frac{-68}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-y=\frac{95}{18}\\5x-6y=\frac{167}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-17}{18})\}\)
2. \(\left\{\begin{matrix}y=\frac{199}{15}+2x\\-3x+5y=\frac{73}{3}\end{matrix}\right.\qquad V=\{(-6,\frac{19}{15})\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{82}{5}\\2x-2y=\frac{-92}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{8}{3})\}\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-463}{6}\\-3x=-5y+\frac{-307}{6}\end{matrix}\right.\qquad V=\{(19,\frac{7}{6})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{-65}{6}\\-5x+y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{11}{3})\}\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{-19}{35}\\-3x=y+\frac{31}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-2}{7})\}\)
7. \(\left\{\begin{matrix}y=\frac{41}{8}+3x\\5x+6y=\frac{-61}{4}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{8})\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{40}{9}\\4x-y=\frac{-89}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-11}{18})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-303}{65}+3x\\x-3y=\frac{-3}{65}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{457}{57}\\x+4y=\frac{-52}{57}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-17}{19})\}\)
11. \(\left\{\begin{matrix}4x+3y=\frac{5}{16}\\x+y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{11}{16})\}\)
12. \(\left\{\begin{matrix}-x-6y=\frac{-70}{9}\\-2x-4y=\frac{-68}{9}\end{matrix}\right.\qquad V=\{(\frac{16}{9},1)\}\)