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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-5y=-7\\x+6y=\frac{44}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{603}{20}+x\\-6x+3y=\frac{-171}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-1}{21}+x\\-2x-5y=\frac{17}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{211}{40}\\-6x-y=\frac{71}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{79}{14}\\2x=y+\frac{99}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-43}{4}\\-x=-5y+\frac{3}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-83}{5}\\x=6y+\frac{179}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-289}{9}-5x\\-2x-y=\frac{-95}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{31}{3}+3x\\4x+3y=\frac{-58}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{228}{17}-4x\\-x-3y=\frac{-131}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-76}{21}-4x\\-4x-y=\frac{209}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{85}{14}+3x\\-x-4y=\frac{51}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-5y=-7\\x+6y=\frac{44}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{603}{20}+x\\-6x+3y=\frac{-171}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},-6)\}\)
3. \(\left\{\begin{matrix}-y=\frac{-1}{21}+x\\-2x-5y=\frac{17}{42}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-1}{6})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{211}{40}\\-6x-y=\frac{71}{60}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{16}{15})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{79}{14}\\2x=y+\frac{99}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{4}{7})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-43}{4}\\-x=-5y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{4},1)\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-83}{5}\\x=6y+\frac{179}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-12}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-289}{9}-5x\\-2x-y=\frac{-95}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},9)\}\)
9. \(\left\{\begin{matrix}-y=\frac{31}{3}+3x\\4x+3y=\frac{-58}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-10}{3})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{228}{17}-4x\\-x-3y=\frac{-131}{34}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{2}{17})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-76}{21}-4x\\-4x-y=\frac{209}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{19}{14})\}\)
12. \(\left\{\begin{matrix}5y=\frac{85}{14}+3x\\-x-4y=\frac{51}{35}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{1}{10})\}\)