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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{-19}{2}\\-2x-4y=\frac{23}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+3y=\frac{17}{8}\\-x=-6y+\frac{-19}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-15}{26}\\4x+y=\frac{56}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{5}{6}\\-5x=2y+\frac{-7}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-y=\frac{-109}{15}\\-6x=3y+\frac{-109}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-459}{10}+5x\\x+y=\frac{189}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+3y=\frac{43}{8}\\-3x+y=\frac{9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-138}{65}+2x\\x+4y=\frac{454}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-487}{55}\\x=-6y+\frac{449}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{16}{9}-6x\\2x-3y=\frac{2}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-3y=\frac{3}{4}\\x=y+\frac{1}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{-151}{35}\\x+y=\frac{61}{140}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{-19}{2}\\-2x-4y=\frac{23}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-5}{4})\}\)
2. \(\left\{\begin{matrix}4x+3y=\frac{17}{8}\\-x=-6y+\frac{-19}{4}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-15}{26}\\4x+y=\frac{56}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{17}{13})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{5}{6}\\-5x=2y+\frac{-7}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2x-y=\frac{-109}{15}\\-6x=3y+\frac{-109}{5}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-459}{10}+5x\\x+y=\frac{189}{20}\end{matrix}\right.\qquad V=\{(9,\frac{9}{20})\}\)
7. \(\left\{\begin{matrix}2x+3y=\frac{43}{8}\\-3x+y=\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{15}{8})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-138}{65}+2x\\x+4y=\frac{454}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{11}{13})\}\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-487}{55}\\x=-6y+\frac{449}{55}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{17}{15})\}\)
10. \(\left\{\begin{matrix}y=\frac{16}{9}-6x\\2x-3y=\frac{2}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{1}{9})\}\)
11. \(\left\{\begin{matrix}2x-3y=\frac{3}{4}\\x=y+\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{-151}{35}\\x+y=\frac{61}{140}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{9}{7})\}\)