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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+6y=\frac{144}{5}\\-x-y=\frac{-202}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-110}{21}\\3x=y+\frac{-109}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-2y=\frac{21}{4}\\-x=-y+\frac{-33}{40}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-5}{19}\\x=-3y+\frac{-41}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{220}{19}\\-2x+y=\frac{91}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-362}{85}\\2x+y=\frac{-462}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-11}{10}\\5x=4y+\frac{-15}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{149}{4}\\-x=-4y+\frac{-227}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=-41+6x\\x-y=7\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{94}{3}+4x\\-x+3y=\frac{17}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-157}{22}\\-2x=-y+\frac{-163}{66}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{233}{14}-x\\6x-4y=\frac{794}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+6y=\frac{144}{5}\\-x-y=\frac{-202}{15}\end{matrix}\right.\qquad V=\{(13,\frac{7}{15})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-110}{21}\\3x=y+\frac{-109}{42}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}5x-2y=\frac{21}{4}\\-x=-y+\frac{-33}{40}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{3}{8})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-5}{19}\\x=-3y+\frac{-41}{76}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{220}{19}\\-2x+y=\frac{91}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{15}{19})\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-362}{85}\\2x+y=\frac{-462}{85}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-4}{17})\}\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-11}{10}\\5x=4y+\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{149}{4}\\-x=-4y+\frac{-227}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},-7)\}\)
9. \(\left\{\begin{matrix}5y=-41+6x\\x-y=7\end{matrix}\right.\qquad V=\{(6,-1)\}\)
10. \(\left\{\begin{matrix}6y=\frac{94}{3}+4x\\-x+3y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(-10,\frac{-13}{9})\}\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-157}{22}\\-2x=-y+\frac{-163}{66}\end{matrix}\right.\qquad V=\{(\frac{20}{11},\frac{7}{6})\}\)
12. \(\left\{\begin{matrix}y=\frac{233}{14}-x\\6x-4y=\frac{794}{7}\end{matrix}\right.\qquad V=\{(18,\frac{-19}{14})\}\)