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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{-20}{3}\\-x+6y=\frac{2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-4y=\frac{-85}{44}\\-2x-y=\frac{-109}{176}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{907}{17}\\-4x=-5y+\frac{-721}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-492}{323}+x\\-3x-3y=\frac{-150}{323}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-5y=\frac{-82}{17}\\x=-5y+\frac{86}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-15}{2}\\3x+5y=\frac{39}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-31}{2}\\x-3y=\frac{17}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-5y=\frac{-207}{4}\\5x-5y=\frac{-235}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-64}{5}\\5x+y=\frac{-34}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-7}{11}\\x-3y=\frac{17}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+5y=\frac{53}{6}\\x+y=\frac{5}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{27}{2}\\x=y+\frac{-7}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{-20}{3}\\-x+6y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-2x-4y=\frac{-85}{44}\\-2x-y=\frac{-109}{176}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{7}{16})\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{907}{17}\\-4x=-5y+\frac{-721}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},-9)\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-492}{323}+x\\-3x-3y=\frac{-150}{323}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{13}{19})\}\)
5. \(\left\{\begin{matrix}3x-5y=\frac{-82}{17}\\x=-5y+\frac{86}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},1)\}\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-15}{2}\\3x+5y=\frac{39}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{6},2)\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-31}{2}\\x-3y=\frac{17}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{4})\}\)
8. \(\left\{\begin{matrix}x-5y=\frac{-207}{4}\\5x-5y=\frac{-235}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},10)\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-64}{5}\\5x+y=\frac{-34}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-14}{5})\}\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-7}{11}\\x-3y=\frac{17}{11}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},-1)\}\)
11. \(\left\{\begin{matrix}3x+5y=\frac{53}{6}\\x+y=\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{19}{6})\}\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{27}{2}\\x=y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{2})\}\)