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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+y=\frac{100}{11}\\3x=4y+\frac{-434}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{-506}{35}\\-x+4y=\frac{-22}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-42}{11}\\-x=5y+\frac{19}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{177}{7}\\4x+5y=\frac{150}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+5y=\frac{-109}{6}\\-2x+5y=\frac{-133}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{-143}{45}\\3x+3y=\frac{-43}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=2-2x\\-x+y=\frac{-7}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-241}{12}\\x=-2y+\frac{-2}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{94}{15}-6x\\5x+6y=\frac{452}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{912}{35}\\x+2y=\frac{-32}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-61}{7}\\-6x=y+\frac{73}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{155}{182}-5x\\-6x-y=\frac{815}{182}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+y=\frac{100}{11}\\3x=4y+\frac{-434}{11}\end{matrix}\right.\qquad V=\{(\frac{2}{11},10)\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{-506}{35}\\-x+4y=\frac{-22}{35}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-42}{11}\\-x=5y+\frac{19}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-3}{11})\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{177}{7}\\4x+5y=\frac{150}{7}\end{matrix}\right.\qquad V=\{(5,\frac{2}{7})\}\)
5. \(\left\{\begin{matrix}-x+5y=\frac{-109}{6}\\-2x+5y=\frac{-133}{6}\end{matrix}\right.\qquad V=\{(4,\frac{-17}{6})\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{-143}{45}\\3x+3y=\frac{-43}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}-3y=2-2x\\-x+y=\frac{-7}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-16}{15})\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-241}{12}\\x=-2y+\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-7}{4})\}\)
9. \(\left\{\begin{matrix}y=\frac{94}{15}-6x\\5x+6y=\frac{452}{45}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{14}{15})\}\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{912}{35}\\x+2y=\frac{-32}{35}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{8}{7})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-61}{7}\\-6x=y+\frac{73}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{155}{182}-5x\\-6x-y=\frac{815}{182}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{-11}{14})\}\)