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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+4y=\frac{-51}{5}\\-x=-y+\frac{-18}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-6}{5}\\x=5y+\frac{-3}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{125}{9}\\3x=y+\frac{-11}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{437}{5}\\x=y+\frac{-76}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{15}{4}-x\\-6x+5y=\frac{-7}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{5}{12}-x\\6x+3y=\frac{155}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{132}{95}+x\\5x-6y=\frac{328}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=\frac{818}{7}\\x-y=\frac{138}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{282}{7}\\2x-y=\frac{76}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{73}{44}\\-3x-y=\frac{-139}{220}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+y=\frac{-15}{28}\\4x-3y=\frac{6}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{241}{342}\\3x-4y=\frac{541}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+4y=\frac{-51}{5}\\-x=-y+\frac{-18}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},-3)\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-6}{5}\\x=5y+\frac{-3}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{1}{10})\}\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{125}{9}\\3x=y+\frac{-11}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-16}{9})\}\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{437}{5}\\x=y+\frac{-76}{5}\end{matrix}\right.\qquad V=\{(-19,\frac{-19}{5})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{15}{4}-x\\-6x+5y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-1)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{5}{12}-x\\6x+3y=\frac{155}{8}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{9}{8})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{132}{95}+x\\5x-6y=\frac{328}{95}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}6x-4y=\frac{818}{7}\\x-y=\frac{138}{7}\end{matrix}\right.\qquad V=\{(19,\frac{-5}{7})\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{282}{7}\\2x-y=\frac{76}{7}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},-16)\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{73}{44}\\-3x-y=\frac{-139}{220}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{2}{11})\}\)
11. \(\left\{\begin{matrix}-x+y=\frac{-15}{28}\\4x-3y=\frac{6}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-9}{7})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{241}{342}\\3x-4y=\frac{541}{171}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-5}{18})\}\)