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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=\frac{21}{5}\\-x+3y=\frac{-37}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-4y=\frac{-1171}{304}\\-3x=y+\frac{757}{304}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=-4+5x\\-x-2y=\frac{-1}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-2184}{19}+6x\\-3x+y=\frac{-332}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{103}{60}\\6x-4y=\frac{-23}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-48}{5}\\-2x=y+\frac{-16}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{1}{3}\\-4x+2y=\frac{22}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-67}{7}-x\\3x+2y=\frac{-1}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=\frac{-339}{119}\\5x-2y=\frac{440}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-37}{12}\\2x=2y+\frac{-139}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-103}{6}-2x\\-4x+y=\frac{-5}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-877}{72}\\-3x+y=\frac{-79}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=\frac{21}{5}\\-x+3y=\frac{-37}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}5x-4y=\frac{-1171}{304}\\-3x=y+\frac{757}{304}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-1}{19})\}\)
3. \(\left\{\begin{matrix}-4y=-4+5x\\-x-2y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-2184}{19}+6x\\-3x+y=\frac{-332}{19}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},-20)\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{103}{60}\\6x-4y=\frac{-23}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-19}{20})\}\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-48}{5}\\-2x=y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-13}{10})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{1}{3}\\-4x+2y=\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{13}{15})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-67}{7}-x\\3x+2y=\frac{-1}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{10}{7})\}\)
9. \(\left\{\begin{matrix}6x+y=\frac{-339}{119}\\5x-2y=\frac{440}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{-15}{7})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-37}{12}\\2x=2y+\frac{-139}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{9}{10})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-103}{6}-2x\\-4x+y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{12},4)\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-877}{72}\\-3x+y=\frac{-79}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{-17}{8})\}\)