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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-7}{6}\\2x+4y=\frac{-112}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-386}{11}\\-4x=y+\frac{603}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{2051}{220}-x\\5x+6y=\frac{-397}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-31}{2}\\x=4y+\frac{-8}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+2y=\frac{189}{5}\\-5x-2y=-53\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-y=\frac{1}{2}\\-2x=-5y+\frac{-43}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-173}{10}\\-x=-6y+\frac{41}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-7}{2}\\3x+y=\frac{-53}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-512}{63}+2x\\3x+y=\frac{376}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{347}{221}\\-x=y+\frac{-72}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{1269}{152}\\-x=-3y+\frac{739}{152}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{124}{15}\\-4x=-y+\frac{8}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-7}{6}\\2x+4y=\frac{-112}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-7}{2})\}\)
2. \(\left\{\begin{matrix}2x-6y=\frac{-386}{11}\\-4x=y+\frac{603}{11}\end{matrix}\right.\qquad V=\{(-14,\frac{13}{11})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{2051}{220}-x\\5x+6y=\frac{-397}{44}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{-17}{11})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-31}{2}\\x=4y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(2,\frac{7}{6})\}\)
5. \(\left\{\begin{matrix}x+2y=\frac{189}{5}\\-5x-2y=-53\end{matrix}\right.\qquad V=\{(\frac{19}{5},17)\}\)
6. \(\left\{\begin{matrix}-2x-y=\frac{1}{2}\\-2x=-5y+\frac{-43}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-15}{8})\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-173}{10}\\-x=-6y+\frac{41}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{19}{12})\}\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-7}{2}\\3x+y=\frac{-53}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-512}{63}+2x\\3x+y=\frac{376}{63}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-8}{9})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{347}{221}\\-x=y+\frac{-72}{221}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-1}{17})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{1269}{152}\\-x=-3y+\frac{739}{152}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{11}{8})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{124}{15}\\-4x=-y+\frac{8}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-8}{3})\}\)