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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=90+2x\\2x-y=-50\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-6y=\frac{110}{117}\\-x+2y=\frac{-41}{117}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-1263}{187}\\-6x+4y=\frac{1942}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-5y=\frac{65}{36}\\3x=-y+\frac{-17}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{44}{5}\\x+5y=-23\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+4y=\frac{115}{34}\\5x-y=\frac{69}{34}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=-80-6x\\-x-6y=19\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=-13-5x\\-x-6y=-7\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{1}{10}\\-4x=5y+-12\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-85}{48}\\2x-y=\frac{-7}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-y=\frac{-32}{9}\\-6x+3y=\frac{56}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{261}{104}+6x\\-3x-3y=\frac{981}{208}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=90+2x\\2x-y=-50\end{matrix}\right.\qquad V=\{(-20,10)\}\)
2. \(\left\{\begin{matrix}4x-6y=\frac{110}{117}\\-x+2y=\frac{-41}{117}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-3}{13})\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-1263}{187}\\-6x+4y=\frac{1942}{187}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{14}{11})\}\)
4. \(\left\{\begin{matrix}4x-5y=\frac{65}{36}\\3x=-y+\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-7}{12})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{44}{5}\\x+5y=-23\end{matrix}\right.\qquad V=\{(-7,\frac{-16}{5})\}\)
6. \(\left\{\begin{matrix}3x+4y=\frac{115}{34}\\5x-y=\frac{69}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{17})\}\)
7. \(\left\{\begin{matrix}2y=-80-6x\\-x-6y=19\end{matrix}\right.\qquad V=\{(-13,-1)\}\)
8. \(\left\{\begin{matrix}6y=-13-5x\\-x-6y=-7\end{matrix}\right.\qquad V=\{(-5,2)\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{1}{10}\\-4x=5y+-12\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-85}{48}\\2x-y=\frac{-7}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{5}{12})\}\)
11. \(\left\{\begin{matrix}-4x-y=\frac{-32}{9}\\-6x+3y=\frac{56}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{16}{3})\}\)
12. \(\left\{\begin{matrix}-y=\frac{261}{104}+6x\\-3x-3y=\frac{981}{208}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-18}{13})\}\)