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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+6y=\frac{310}{13}\\x=-y+\frac{53}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{103}{2}\\x+3y=\frac{155}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{49}{8}-3x\\-5x+3y=\frac{-35}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-22}{9}+5x\\x-y=\frac{4}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{7}{6}-x\\-5x-3y=\frac{-19}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-57}{10}\\-x-5y=\frac{-11}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-56}{17}\\x=6y+\frac{-46}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{383}{60}-3x\\-6x-5y=\frac{-29}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-4y=\frac{12}{35}\\-4x=-y+\frac{172}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{1583}{247}\\-3x=-y+\frac{281}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{83}{4}\\3x-y=\frac{-95}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=37\\3x-2y=\frac{-47}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+6y=\frac{310}{13}\\x=-y+\frac{53}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{13},4)\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{103}{2}\\x+3y=\frac{155}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},13)\}\)
3. \(\left\{\begin{matrix}y=\frac{49}{8}-3x\\-5x+3y=\frac{-35}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-22}{9}+5x\\x-y=\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{2}{9})\}\)
5. \(\left\{\begin{matrix}3y=\frac{7}{6}-x\\-5x-3y=\frac{-19}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{2}{9})\}\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-57}{10}\\-x-5y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-56}{17}\\x=6y+\frac{-46}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{2}{17})\}\)
8. \(\left\{\begin{matrix}-y=\frac{383}{60}-3x\\-6x-5y=\frac{-29}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-17}{15})\}\)
9. \(\left\{\begin{matrix}2x-4y=\frac{12}{35}\\-4x=-y+\frac{172}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{1583}{247}\\-3x=-y+\frac{281}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-16}{13})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{83}{4}\\3x-y=\frac{-95}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{7}{2})\}\)
12. \(\left\{\begin{matrix}x+6y=37\\3x-2y=\frac{-47}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{3})\}\)