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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+2y=\frac{181}{48}\\4x+2y=\frac{19}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+5y=\frac{851}{78}\\x=-6y+\frac{102}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{1239}{187}\\x=3y+\frac{-784}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-571}{52}+5x\\x-y=\frac{179}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+6y=\frac{-211}{42}\\-2x+5y=\frac{-200}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-71}{16}+5x\\-6x+3y=\frac{-123}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{-83}{15}\\5x=-5y+\frac{-73}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-192}{5}\\2x=-y+\frac{-51}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{79}{12}\\2x=-2y+\frac{19}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-143}{15}\\-x=4y+\frac{-83}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-51}{16}\\-3x=3y+\frac{-99}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-6y=\frac{-69}{170}\\-6x+y=\frac{894}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+2y=\frac{181}{48}\\4x+2y=\frac{19}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}6x+5y=\frac{851}{78}\\x=-6y+\frac{102}{13}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{7}{6})\}\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{1239}{187}\\x=3y+\frac{-784}{187}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{15}{17})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-571}{52}+5x\\x-y=\frac{179}{52}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-9}{13})\}\)
5. \(\left\{\begin{matrix}x+6y=\frac{-211}{42}\\-2x+5y=\frac{-200}{63}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{-7}{9})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-71}{16}+5x\\-6x+3y=\frac{-123}{16}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{16})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{-83}{15}\\5x=-5y+\frac{-73}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{2}{15})\}\)
8. \(\left\{\begin{matrix}4x+4y=\frac{-192}{5}\\2x=-y+\frac{-51}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-9)\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{79}{12}\\2x=-2y+\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-11}{12})\}\)
10. \(\left\{\begin{matrix}4x-4y=\frac{-143}{15}\\-x=4y+\frac{-83}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{19}{12})\}\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-51}{16}\\-3x=3y+\frac{-99}{16}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{3}{2})\}\)
12. \(\left\{\begin{matrix}3x-6y=\frac{-69}{170}\\-6x+y=\frac{894}{85}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-15}{17})\}\)