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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{35}{2}-x\\-4x-4y=-40\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{447}{35}+3x\\x+6y=\frac{551}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+y=\frac{247}{10}\\4x=-6y+\frac{101}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{-27}{8}\\-4x=-y+\frac{-205}{48}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-6y=-7\\3x-y=\frac{-11}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-98}{5}-5x\\-x-5y=\frac{13}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-4y=\frac{110}{17}\\-5x=4y+\frac{246}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-107}{99}+5x\\x+3y=\frac{-173}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{71}{14}\\-x-6y=\frac{467}{56}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{505}{16}-4x\\2x+5y=\frac{221}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-4y=-4\\-4x=y+\frac{-1}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{507}{19}\\-4x+y=\frac{289}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{35}{2}-x\\-4x-4y=-40\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}3y=\frac{447}{35}+3x\\x+6y=\frac{551}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{20}{7})\}\)
3. \(\left\{\begin{matrix}6x+y=\frac{247}{10}\\4x=-6y+\frac{101}{5}\end{matrix}\right.\qquad V=\{(4,\frac{7}{10})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{-27}{8}\\-4x=-y+\frac{-205}{48}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{1}{16})\}\)
5. \(\left\{\begin{matrix}4x-6y=-7\\3x-y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-1}{14})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-98}{5}-5x\\-x-5y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{15})\}\)
7. \(\left\{\begin{matrix}-x-4y=\frac{110}{17}\\-5x=4y+\frac{246}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{17})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-107}{99}+5x\\x+3y=\frac{-173}{99}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-6}{11})\}\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{71}{14}\\-x-6y=\frac{467}{56}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-9}{7})\}\)
10. \(\left\{\begin{matrix}y=\frac{505}{16}-4x\\2x+5y=\frac{221}{16}\end{matrix}\right.\qquad V=\{(8,\frac{-7}{16})\}\)
11. \(\left\{\begin{matrix}6x-4y=-4\\-4x=y+\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{507}{19}\\-4x+y=\frac{289}{19}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},11)\}\)