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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-91}{6}+4x\\2x-y=\frac{14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{141}{40}\\-x=-2y+\frac{9}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-383}{120}-4x\\x+6y=\frac{149}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-y=\frac{-33}{16}\\4x+6y=\frac{-55}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-6y=\frac{50}{3}\\-x+y=\frac{-34}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-251}{30}-3x\\6x+y=\frac{-851}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-640}{19}+4x\\-x+2y=\frac{-616}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-19}{3}\\-x=3y+\frac{-21}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{135}{8}-2x\\x-5y=\frac{-811}{48}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{76}{5}\\-5x+y=1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-5}{2}\\-x=-4y+\frac{-71}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{-149}{35}\\5x-5y=\frac{-37}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-91}{6}+4x\\2x-y=\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{5}{6})\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{141}{40}\\-x=-2y+\frac{9}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-1}{5})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-383}{120}-4x\\x+6y=\frac{149}{60}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{5}{8})\}\)
4. \(\left\{\begin{matrix}3x-y=\frac{-33}{16}\\4x+6y=\frac{-55}{24}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{16})\}\)
5. \(\left\{\begin{matrix}4x-6y=\frac{50}{3}\\-x+y=\frac{-34}{9}\end{matrix}\right.\qquad V=\{(3,\frac{-7}{9})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-251}{30}-3x\\6x+y=\frac{-851}{60}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-17}{20})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-640}{19}+4x\\-x+2y=\frac{-616}{19}\end{matrix}\right.\qquad V=\{(\frac{8}{19},-16)\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-19}{3}\\-x=3y+\frac{-21}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{11}{12})\}\)
9. \(\left\{\begin{matrix}6y=\frac{135}{8}-2x\\x-5y=\frac{-811}{48}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{19}{6})\}\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{76}{5}\\-5x+y=1\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-3)\}\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-5}{2}\\-x=-4y+\frac{-71}{30}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{-149}{35}\\5x-5y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{13}{7})\}\)