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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{27}{2}+6x\\-x+6y=5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-14}{5}-2x\\5x-y=\frac{-94}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=-7\\x=y+\frac{3}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+4y=\frac{796}{33}\\x=-6y+\frac{94}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{-235}{13}\\-x-5y=\frac{-185}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{245}{24}+5x\\x-6y=\frac{69}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-4y=\frac{113}{19}\\-x=-3y+\frac{-49}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{22}{9}+x\\-4x-2y=\frac{28}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-4y=\frac{98}{15}\\3x=y+\frac{47}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+2y=\frac{-89}{60}\\-4x=y+\frac{-2}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=16\\-x-y=\frac{14}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{335}{39}+3x\\-4x+y=\frac{100}{39}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{27}{2}+6x\\-x+6y=5\end{matrix}\right.\qquad V=\{(-2,\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-14}{5}-2x\\5x-y=\frac{-94}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-1}{15})\}\)
3. \(\left\{\begin{matrix}-5x+4y=-7\\x=y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}4x+4y=\frac{796}{33}\\x=-6y+\frac{94}{33}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-7}{11})\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{-235}{13}\\-x-5y=\frac{-185}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},3)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{245}{24}+5x\\x-6y=\frac{69}{8}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-5}{3})\}\)
7. \(\left\{\begin{matrix}5x-4y=\frac{113}{19}\\-x=-3y+\frac{-49}{19}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-12}{19})\}\)
8. \(\left\{\begin{matrix}2y=\frac{22}{9}+x\\-4x-2y=\frac{28}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}3x-4y=\frac{98}{15}\\3x=y+\frac{47}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-17}{15})\}\)
10. \(\left\{\begin{matrix}3x+2y=\frac{-89}{60}\\-4x=y+\frac{-2}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-19}{15})\}\)
11. \(\left\{\begin{matrix}6x-5y=16\\-x-y=\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
12. \(\left\{\begin{matrix}2y=\frac{335}{39}+3x\\-4x+y=\frac{100}{39}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{16}{3})\}\)