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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-280}{57}-x\\-2x+3y=\frac{803}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-11}{7}+2x\\x-y=\frac{-3}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-11}{65}+2x\\5x+5y=\frac{28}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-4y=\frac{-424}{21}\\-x+3y=\frac{-130}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{235}{8}\\-2x-4y=\frac{53}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{59}{3}\\-5x+y=\frac{-211}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-2}{5}\\4x=-y+\frac{22}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{19}{17}\\4x=-6y+\frac{32}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{-137}{30}\\-3x+y=\frac{103}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-4y=\frac{-128}{3}\\-x+y=\frac{23}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{67}{2}\\-x+y=\frac{-37}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=\frac{-19}{4}\\x-y=\frac{9}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-280}{57}-x\\-2x+3y=\frac{803}{57}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{9}{19})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-11}{7}+2x\\x-y=\frac{-3}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}y=\frac{-11}{65}+2x\\5x+5y=\frac{28}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{3}{13})\}\)
4. \(\left\{\begin{matrix}-4x-4y=\frac{-424}{21}\\-x+3y=\frac{-130}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-2}{7})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{235}{8}\\-2x-4y=\frac{53}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{59}{3}\\-5x+y=\frac{-211}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-2}{5}\\4x=-y+\frac{22}{5}\end{matrix}\right.\qquad V=\{(1,\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{19}{17}\\4x=-6y+\frac{32}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{17})\}\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{-137}{30}\\-3x+y=\frac{103}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{4}{3})\}\)
10. \(\left\{\begin{matrix}6x-4y=\frac{-128}{3}\\-x+y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(-6,\frac{5}{3})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{67}{2}\\-x+y=\frac{-37}{6}\end{matrix}\right.\qquad V=\{(5,\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}5x+6y=\frac{-19}{4}\\x-y=\frac{9}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-11}{16})\}\)