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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{157}{14}+2x\\-x+5y=\frac{409}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{163}{34}-5x\\x-3y=\frac{95}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+6y=\frac{-75}{26}\\4x+3y=\frac{-327}{52}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{-261}{8}\\x=-y+\frac{133}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-49}{12}\\-x+y=\frac{1}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{162}{17}-6x\\-x+2y=\frac{-41}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-26}{5}\\-x-6y=\frac{49}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{11}{4}+6x\\5x-y=\frac{-63}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-4}{15}\\3x+y=\frac{-21}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{54}{5}+6x\\-x-2y=\frac{41}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=14\\-5x=y+\frac{7}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+4y=\frac{-77}{2}\\6x-y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{157}{14}+2x\\-x+5y=\frac{409}{28}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{18}{7})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{163}{34}-5x\\x-3y=\frac{95}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{17})\}\)
3. \(\left\{\begin{matrix}x+6y=\frac{-75}{26}\\4x+3y=\frac{-327}{52}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{-261}{8}\\x=-y+\frac{133}{16}\end{matrix}\right.\qquad V=\{(\frac{5}{16},8)\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-49}{12}\\-x+y=\frac{1}{24}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{-17}{8})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{162}{17}-6x\\-x+2y=\frac{-41}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-12}{17})\}\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-26}{5}\\-x-6y=\frac{49}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}5y=\frac{11}{4}+6x\\5x-y=\frac{-63}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{-17}{4})\}\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-4}{15}\\3x+y=\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},-1)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{54}{5}+6x\\-x-2y=\frac{41}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-7}{10})\}\)
11. \(\left\{\begin{matrix}6x+4y=14\\-5x=y+\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{11}{2})\}\)
12. \(\left\{\begin{matrix}3x+4y=\frac{-77}{2}\\6x-y=4\end{matrix}\right.\qquad V=\{(\frac{-5}{6},-9)\}\)