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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-67}{2}-3x\\-5x+y=\frac{37}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=6\\x=-6y+-85\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-6y=\frac{90}{19}\\x+5y=\frac{-107}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-73}{8}\\x=y+\frac{-39}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{179}{15}-5x\\4x-y=\frac{-71}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{1331}{63}\\-5x=y+\frac{-736}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{36}{7}+3x\\-x+6y=\frac{-2}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-164}{15}\\2x=5y+\frac{97}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{-55}{8}\\4x=y+\frac{-33}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-111}{91}\\5x=y+\frac{1361}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-642}{55}+x\\5x+3y=\frac{81}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-23}{42}-6x\\x+3y=\frac{-187}{126}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-67}{2}-3x\\-5x+y=\frac{37}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},-4)\}\)
2. \(\left\{\begin{matrix}-6x+6y=6\\x=-6y+-85\end{matrix}\right.\qquad V=\{(-13,-12)\}\)
3. \(\left\{\begin{matrix}2x-6y=\frac{90}{19}\\x+5y=\frac{-107}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},-1)\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-73}{8}\\x=y+\frac{-39}{16}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{11}{16})\}\)
5. \(\left\{\begin{matrix}4y=\frac{179}{15}-5x\\4x-y=\frac{-71}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{17}{5})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{1331}{63}\\-5x=y+\frac{-736}{63}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{-17}{9})\}\)
7. \(\left\{\begin{matrix}6y=\frac{36}{7}+3x\\-x+6y=\frac{-2}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-164}{15}\\2x=5y+\frac{97}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{-55}{8}\\4x=y+\frac{-33}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{19}{4})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-111}{91}\\5x=y+\frac{1361}{91}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{-18}{13})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-642}{55}+x\\5x+3y=\frac{81}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-17}{11})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-23}{42}-6x\\x+3y=\frac{-187}{126}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-9}{14})\}\)