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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-5}{6}-5x\\-x+y=\frac{49}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-y=\frac{59}{35}\\-3x=5y+\frac{-13}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{83}{13}\\-3x=4y+\frac{103}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-26}{3}-x\\5x+4y=\frac{-64}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-13}{3}+5x\\4x+y=\frac{-118}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+4y=\frac{-524}{57}\\x-3y=\frac{383}{38}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-47}{6}-5x\\6x+3y=\frac{-17}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{93}{10}\\-x=-6y+\frac{21}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{-145}{12}\\6x+y=\frac{39}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-23}{4}\\-x+4y=\frac{-35}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{1328}{33}\\5x-y=\frac{-65}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{-295}{22}\\-x+y=\frac{-185}{132}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-5}{6}-5x\\-x+y=\frac{49}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},5)\}\)
2. \(\left\{\begin{matrix}x-y=\frac{59}{35}\\-3x=5y+\frac{-13}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-2}{5})\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{83}{13}\\-3x=4y+\frac{103}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-16}{13})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-26}{3}-x\\5x+4y=\frac{-64}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},-2)\}\)
5. \(\left\{\begin{matrix}3y=\frac{-13}{3}+5x\\4x+y=\frac{-118}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}6x+4y=\frac{-524}{57}\\x-3y=\frac{383}{38}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-19}{6})\}\)
7. \(\left\{\begin{matrix}y=\frac{-47}{6}-5x\\6x+3y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{93}{10}\\-x=-6y+\frac{21}{10}\end{matrix}\right.\qquad V=\{(-3,\frac{-3}{20})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{-145}{12}\\6x+y=\frac{39}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{5}{4})\}\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-23}{4}\\-x+4y=\frac{-35}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},-1)\}\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{1328}{33}\\5x-y=\frac{-65}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-20}{3})\}\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{-295}{22}\\-x+y=\frac{-185}{132}\end{matrix}\right.\qquad V=\{(\frac{20}{11},\frac{5}{12})\}\)