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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+2y=\frac{-73}{9}\\x+y=\frac{-29}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{70}{3}-5x\\3x-y=\frac{20}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-149}{18}-4x\\2x-y=\frac{-43}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-46}{35}+4x\\2x+y=\frac{-82}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{9}{19}\\-x=-y+\frac{2}{95}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-6y=\frac{125}{84}\\-6x+y=\frac{-59}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{190}{7}+3x\\x+4y=\frac{-106}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-3y=\frac{3}{4}\\-5x-y=\frac{17}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{-8}{105}\\x-2y=\frac{47}{105}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{-313}{45}\\x+6y=\frac{-221}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{748}{63}+4x\\-x+4y=\frac{586}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{657}{77}-2x\\-3x+y=\frac{45}{154}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+2y=\frac{-73}{9}\\x+y=\frac{-29}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-8}{3})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{70}{3}-5x\\3x-y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{3})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-149}{18}-4x\\2x-y=\frac{-43}{18}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-46}{35}+4x\\2x+y=\frac{-82}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-6}{5})\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{9}{19}\\-x=-y+\frac{2}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}5x-6y=\frac{125}{84}\\-6x+y=\frac{-59}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{15}{14})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{190}{7}+3x\\x+4y=\frac{-106}{7}\end{matrix}\right.\qquad V=\{(-6,\frac{-16}{7})\}\)
8. \(\left\{\begin{matrix}-3x-3y=\frac{3}{4}\\-5x-y=\frac{17}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{-8}{105}\\x-2y=\frac{47}{105}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-6}{7})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{-313}{45}\\x+6y=\frac{-221}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-10}{9})\}\)
11. \(\left\{\begin{matrix}4y=\frac{748}{63}+4x\\-x+4y=\frac{586}{63}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{19}{9})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{657}{77}-2x\\-3x+y=\frac{45}{154}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{-18}{11})\}\)