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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{-38}{15}\\x+2y=\frac{17}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{33}{8}-3x\\3x+y=\frac{-27}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{360}{221}\\-x=-5y+\frac{-1176}{221}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-19}{2}+5x\\-3x+2y=\frac{-39}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=10\\x=-2y+\frac{-1}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-631}{130}\\6x+5y=\frac{-379}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{-269}{143}\\-x=y+\frac{-90}{143}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{14}{13}-x\\-2x-4y=\frac{20}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-55}{2}-5x\\x+3y=\frac{-25}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-239}{20}\\-3x+y=\frac{121}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-73}{18}-x\\6x-2y=\frac{-109}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{80}{3}+6x\\x+4y=\frac{-131}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{-38}{15}\\x+2y=\frac{17}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{33}{8}-3x\\3x+y=\frac{-27}{8}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{360}{221}\\-x=-5y+\frac{-1176}{221}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-16}{17})\}\)
4. \(\left\{\begin{matrix}y=\frac{-19}{2}+5x\\-3x+2y=\frac{-39}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}-6x-5y=10\\x=-2y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},1)\}\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-631}{130}\\6x+5y=\frac{-379}{26}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-19}{10})\}\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{-269}{143}\\-x=y+\frac{-90}{143}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{1}{11})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{14}{13}-x\\-2x-4y=\frac{20}{39}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-1}{6})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-55}{2}-5x\\x+3y=\frac{-25}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-239}{20}\\-3x+y=\frac{121}{60}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-19}{12})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-73}{18}-x\\6x-2y=\frac{-109}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{5}{9})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{80}{3}+6x\\x+4y=\frac{-131}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-17}{18})\}\)