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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{220}{13}\\x=2y+\frac{210}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=2+3x\\-6x+5y=\frac{-19}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-4y=\frac{23}{2}\\3x-6y=\frac{39}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-3y=\frac{116}{15}\\-x=-4y+\frac{-13}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-2y=\frac{227}{30}\\-2x=-y+\frac{-44}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-248}{15}+6x\\-2x+y=\frac{-29}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{41}{9}+5x\\-6x+y=\frac{5}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-55}{4}-6x\\-x+y=\frac{-11}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-y=\frac{-13}{3}\\6x=6y+-14\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{9}{2}-6x\\x+2y=1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-30}{11}\\x+4y=\frac{72}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-327}{40}\\x-4y=\frac{-59}{40}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{220}{13}\\x=2y+\frac{210}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},-8)\}\)
2. \(\left\{\begin{matrix}-y=2+3x\\-6x+5y=\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-5}{4})\}\)
3. \(\left\{\begin{matrix}-x-4y=\frac{23}{2}\\3x-6y=\frac{39}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-3)\}\)
4. \(\left\{\begin{matrix}5x-3y=\frac{116}{15}\\-x=-4y+\frac{-13}{15}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{1}{5})\}\)
5. \(\left\{\begin{matrix}3x-2y=\frac{227}{30}\\-2x=-y+\frac{-44}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-19}{3})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-248}{15}+6x\\-2x+y=\frac{-29}{5}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{13}{15})\}\)
7. \(\left\{\begin{matrix}4y=\frac{41}{9}+5x\\-6x+y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},1)\}\)
8. \(\left\{\begin{matrix}5y=\frac{-55}{4}-6x\\-x+y=\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-7}{4})\}\)
9. \(\left\{\begin{matrix}2x-y=\frac{-13}{3}\\6x=6y+-14\end{matrix}\right.\qquad V=\{(-2,\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{9}{2}-6x\\x+2y=1\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{1}{10})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-30}{11}\\x+4y=\frac{72}{11}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},2)\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-327}{40}\\x-4y=\frac{-59}{40}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{9}{10})\}\)