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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=\frac{29}{20}\\-6x+y=\frac{367}{80}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+y=\frac{-81}{13}\\4x-5y=\frac{-20}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-1180}{133}\\5x=-y+\frac{-1020}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-32}{11}\\x-4y=\frac{-27}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{35}{34}\\-2x=5y+\frac{48}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{119}{3}\\5x=3y+-41\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-4y=1\\x=-5y+\frac{3}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=\frac{1}{24}\\3x+2y=\frac{-77}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+5y=\frac{927}{55}\\2x=-y+\frac{-149}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{305}{51}+4x\\-x+3y=\frac{-95}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-111}{14}-5x\\-3x-y=\frac{121}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{11}{14}-2x\\6x-5y=\frac{-695}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=\frac{29}{20}\\-6x+y=\frac{367}{80}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-13}{16})\}\)
2. \(\left\{\begin{matrix}3x+y=\frac{-81}{13}\\4x-5y=\frac{-20}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-16}{13})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-1180}{133}\\5x=-y+\frac{-1020}{133}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-10}{19})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-32}{11}\\x-4y=\frac{-27}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{11})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{35}{34}\\-2x=5y+\frac{48}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{17})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{119}{3}\\5x=3y+-41\end{matrix}\right.\qquad V=\{(-8,\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}-3x-4y=1\\x=-5y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-3x+y=\frac{1}{24}\\3x+2y=\frac{-77}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-17}{8})\}\)
9. \(\left\{\begin{matrix}-6x+5y=\frac{927}{55}\\2x=-y+\frac{-149}{55}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{12}{11})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{305}{51}+4x\\-x+3y=\frac{-95}{17}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-111}{14}-5x\\-3x-y=\frac{121}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-8}{7})\}\)
12. \(\left\{\begin{matrix}y=\frac{11}{14}-2x\\6x-5y=\frac{-695}{14}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{13}{2})\}\)