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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-87}{14}-3x\\x+y=\frac{-29}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{194}{65}-2x\\5x-y=\frac{55}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{694}{187}\\x=-6y+\frac{79}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-109}{66}+4x\\-5x-4y=\frac{-53}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{847}{285}\\-x=y+\frac{371}{285}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{81}{10}-6x\\-x-5y=\frac{11}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-9}{2}\\5x=y+\frac{15}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-37}{5}-4x\\x-4y=\frac{-89}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-2y=\frac{650}{209}\\5x=-y+\frac{1955}{209}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-403}{6}-4x\\-x+4y=\frac{163}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{-83}{9}\\-6x=-5y+\frac{-133}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{339}{8}+6x\\-x+5y=\frac{-463}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-87}{14}-3x\\x+y=\frac{-29}{14}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{194}{65}-2x\\5x-y=\frac{55}{13}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{13})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{694}{187}\\x=-6y+\frac{79}{187}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{3}{17})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-109}{66}+4x\\-5x-4y=\frac{-53}{33}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-1}{6})\}\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{847}{285}\\-x=y+\frac{371}{285}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-14}{15})\}\)
6. \(\left\{\begin{matrix}4y=\frac{81}{10}-6x\\-x-5y=\frac{11}{40}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-3}{8})\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-9}{2}\\5x=y+\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-5}{4})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-37}{5}-4x\\x-4y=\frac{-89}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}2x-2y=\frac{650}{209}\\5x=-y+\frac{1955}{209}\end{matrix}\right.\qquad V=\{(\frac{20}{11},\frac{5}{19})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-403}{6}-4x\\-x+4y=\frac{163}{9}\end{matrix}\right.\qquad V=\{(-17,\frac{5}{18})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{-83}{9}\\-6x=-5y+\frac{-133}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},-9)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{339}{8}+6x\\-x+5y=\frac{-463}{16}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},-6)\}\)