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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{45}{14}\\6x=-5y+\frac{-10}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{32}{5}\\3x=-y+\frac{-14}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-29}{12}\\x=-6y+\frac{-53}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-707}{272}+x\\-4x-3y=\frac{-91}{272}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+y=\frac{22}{7}\\-2x=6y+\frac{-164}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{98}{19}\\-5x=-2y+\frac{-127}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=18+3x\\-2x-y=9\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-253}{17}\\2x+y=\frac{89}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+3y=\frac{552}{55}\\-x-6y=\frac{-334}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=-5\\-4x=2y+\frac{-5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{52}{19}+5x\\-x-2y=\frac{56}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{44}{3}\\-5x+y=\frac{-14}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{45}{14}\\6x=-5y+\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{5}{7})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{32}{5}\\3x=-y+\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-19}{10})\}\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-29}{12}\\x=-6y+\frac{-53}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-5}{8})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-707}{272}+x\\-4x-3y=\frac{-91}{272}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-7}{16})\}\)
5. \(\left\{\begin{matrix}3x+y=\frac{22}{7}\\-2x=6y+\frac{-164}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},4)\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{98}{19}\\-5x=-2y+\frac{-127}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-16}{19})\}\)
7. \(\left\{\begin{matrix}-6y=18+3x\\-2x-y=9\end{matrix}\right.\qquad V=\{(-4,-1)\}\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-253}{17}\\2x+y=\frac{89}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{7}{3})\}\)
9. \(\left\{\begin{matrix}6x+3y=\frac{552}{55}\\-x-6y=\frac{-334}{55}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}3x-y=-5\\-4x=2y+\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{11}{4})\}\)
11. \(\left\{\begin{matrix}2y=\frac{52}{19}+5x\\-x-2y=\frac{56}{19}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},-1)\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{44}{3}\\-5x+y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(2,\frac{16}{3})\}\)