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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{-507}{10}\\-4x+2y=\frac{-167}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-17}{8}\\-x+4y=\frac{301}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{13}{8}-2x\\6x+y=\frac{183}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-23}{11}+6x\\4x+y=\frac{86}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{136}{55}+4x\\2x-4y=\frac{-266}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{11}{10}\\x-2y=\frac{-59}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{79}{10}-x\\-3x+5y=\frac{7}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{-52}{51}\\4x+y=\frac{-295}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-401}{55}-3x\\5x+y=\frac{-331}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-2y=\frac{-250}{13}\\4x-y=\frac{-239}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{49}{34}+x\\-5x-3y=\frac{-61}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+3y=\frac{62}{9}\\-3x=y+\frac{-10}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{-507}{10}\\-4x+2y=\frac{-167}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{3}{10})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-17}{8}\\-x+4y=\frac{301}{48}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{13}{8}-2x\\6x+y=\frac{183}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{15}{16})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-23}{11}+6x\\4x+y=\frac{86}{33}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-8}{11})\}\)
5. \(\left\{\begin{matrix}-y=\frac{136}{55}+4x\\2x-4y=\frac{-266}{55}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{11}{10}\\x-2y=\frac{-59}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}4y=\frac{79}{10}-x\\-3x+5y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{8}{5})\}\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{-52}{51}\\4x+y=\frac{-295}{51}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-19}{17})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-401}{55}-3x\\5x+y=\frac{-331}{55}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-3x-2y=\frac{-250}{13}\\4x-y=\frac{-239}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{19}{2})\}\)
11. \(\left\{\begin{matrix}3y=\frac{49}{34}+x\\-5x-3y=\frac{-61}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}5x+3y=\frac{62}{9}\\-3x=y+\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{9},1)\}\)