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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{-25}{36}\\5x=-3y+\frac{-163}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{14}{45}\\x-y=\frac{37}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-49}{2}\\-4x=y+\frac{-3}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-85}{56}\\6x=2y+\frac{83}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{59}{16}\\-6x-2y=\frac{37}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-6y=\frac{1642}{15}\\x-2y=\frac{553}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{-39}{20}\\-x-y=\frac{-3}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-3y=\frac{71}{44}\\x+3y=\frac{259}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-103}{19}\\-x-y=\frac{113}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-470}{57}\\-3x-y=\frac{-31}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{60}{13}\\x-2y=-3\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=-7\\6x=y+\frac{157}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{-25}{36}\\5x=-3y+\frac{-163}{12}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-7}{9})\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{14}{45}\\x-y=\frac{37}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-2}{9})\}\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-49}{2}\\-4x=y+\frac{-3}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{4})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{-85}{56}\\6x=2y+\frac{83}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-5}{14})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{59}{16}\\-6x-2y=\frac{37}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-7}{4})\}\)
6. \(\left\{\begin{matrix}4x-6y=\frac{1642}{15}\\x-2y=\frac{553}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},-19)\}\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{-39}{20}\\-x-y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{3}{20})\}\)
8. \(\left\{\begin{matrix}5x-3y=\frac{71}{44}\\x+3y=\frac{259}{44}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{17}{11})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-103}{19}\\-x-y=\frac{113}{38}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-470}{57}\\-3x-y=\frac{-31}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{4}{3})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{60}{13}\\x-2y=-3\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{18}{13})\}\)
12. \(\left\{\begin{matrix}-2x+6y=-7\\6x=y+\frac{157}{18}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-13}{18})\}\)