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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=\frac{69}{13}\\6x=y+\frac{-17}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{20}{21}\\4x=-y+\frac{-65}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+4y=\frac{-25}{3}\\-5x=3y+\frac{55}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-487}{180}\\-4x=2y+\frac{-157}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{-2}{35}\\2x=y+\frac{-169}{70}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{12}{5}-4x\\-5x+y=\frac{-29}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=40\\-2x+y=\frac{-192}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{55}{19}-5x\\-x+y=\frac{-11}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-320}{11}\\-x+5y=\frac{-65}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{59}{6}+2x\\-3x-y=\frac{13}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{664}{143}\\x+6y=\frac{-1381}{143}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-17}{5}\\-x=5y+\frac{31}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=\frac{69}{13}\\6x=y+\frac{-17}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},-1)\}\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{20}{21}\\4x=-y+\frac{-65}{42}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{1}{6})\}\)
3. \(\left\{\begin{matrix}x+4y=\frac{-25}{3}\\-5x=3y+\frac{55}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{-5}{6})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-487}{180}\\-4x=2y+\frac{-157}{90}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-7}{20})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{-2}{35}\\2x=y+\frac{-169}{70}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-11}{14})\}\)
6. \(\left\{\begin{matrix}2y=\frac{12}{5}-4x\\-5x+y=\frac{-29}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}2x-5y=40\\-2x+y=\frac{-192}{5}\end{matrix}\right.\qquad V=\{(19,\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{55}{19}-5x\\-x+y=\frac{-11}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-2}{19})\}\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-320}{11}\\-x+5y=\frac{-65}{11}\end{matrix}\right.\qquad V=\{(5,\frac{-2}{11})\}\)
10. \(\left\{\begin{matrix}3y=\frac{59}{6}+2x\\-3x-y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{664}{143}\\x+6y=\frac{-1381}{143}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-17}{11})\}\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-17}{5}\\-x=5y+\frac{31}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-7}{10})\}\)