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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-5y=\frac{36}{13}\\x=-y+\frac{-28}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=\frac{-257}{120}\\-x-6y=\frac{-7}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-54}{5}\\x=6y+\frac{-93}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=53+2x\\x-5y=\frac{-93}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-6y=\frac{49}{2}\\-x+5y=\frac{-31}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-139}{20}+x\\4x+2y=\frac{101}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-348}{17}+2x\\-x+y=\frac{-189}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+6y=\frac{-224}{5}\\-6x-y=\frac{244}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{71}{13}\\5x=2y+\frac{263}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{21}{34}-2x\\x+3y=\frac{-15}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-4y=-3\\-x-6y=\frac{47}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-131}{14}-2x\\-x+y=\frac{111}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-5y=\frac{36}{13}\\x=-y+\frac{-28}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-15}{13})\}\)
2. \(\left\{\begin{matrix}3x-2y=\frac{-257}{120}\\-x-6y=\frac{-7}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{2}{15})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-54}{5}\\x=6y+\frac{-93}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},3)\}\)
4. \(\left\{\begin{matrix}6y=53+2x\\x-5y=\frac{-93}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},10)\}\)
5. \(\left\{\begin{matrix}5x-6y=\frac{49}{2}\\-x+5y=\frac{-31}{4}\end{matrix}\right.\qquad V=\{(4,\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-139}{20}+x\\4x+2y=\frac{101}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-7}{8})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-348}{17}+2x\\-x+y=\frac{-189}{17}\end{matrix}\right.\qquad V=\{(12,\frac{15}{17})\}\)
8. \(\left\{\begin{matrix}5x+6y=\frac{-224}{5}\\-6x-y=\frac{244}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{71}{13}\\5x=2y+\frac{263}{13}\end{matrix}\right.\qquad V=\{(\frac{11}{13},-8)\}\)
10. \(\left\{\begin{matrix}3y=\frac{21}{34}-2x\\x+3y=\frac{-15}{34}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}3x-4y=-3\\-x-6y=\frac{47}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},-2)\}\)
12. \(\left\{\begin{matrix}5y=\frac{-131}{14}-2x\\-x+y=\frac{111}{14}\end{matrix}\right.\qquad V=\{(-7,\frac{13}{14})\}\)