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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{15}{2}\\-2x=-2y+13\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{9}{2}-3x\\-3x+y=\frac{15}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+6y=11\\2x=y+\frac{-17}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{8}{7}-x\\-4x+4y=4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-3y=\frac{25}{38}\\x=3y+\frac{-75}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-55}{36}\\-x-3y=\frac{109}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-443}{13}+6x\\-x+y=\frac{-73}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-699}{68}\\x=-y+\frac{345}{68}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{14}{9}+2x\\-x-3y=\frac{2}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{820}{19}-4x\\x+3y=\frac{235}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-2y=\frac{1}{9}\\4x=-2y+\frac{-46}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=-4\\x-y=\frac{8}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{15}{2}\\-2x=-2y+13\end{matrix}\right.\qquad V=\{(-7,\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}2y=\frac{9}{2}-3x\\-3x+y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},4)\}\)
3. \(\left\{\begin{matrix}-6x+6y=11\\2x=y+\frac{-17}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{8}{7}-x\\-4x+4y=4\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-3}{7})\}\)
5. \(\left\{\begin{matrix}6x-3y=\frac{25}{38}\\x=3y+\frac{-75}{38}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-55}{36}\\-x-3y=\frac{109}{24}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-17}{9})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-443}{13}+6x\\-x+y=\frac{-73}{13}\end{matrix}\right.\qquad V=\{(6,\frac{5}{13})\}\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-699}{68}\\x=-y+\frac{345}{68}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{14}{17})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{14}{9}+2x\\-x-3y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{9})\}\)
10. \(\left\{\begin{matrix}4y=\frac{820}{19}-4x\\x+3y=\frac{235}{19}\end{matrix}\right.\qquad V=\{(10,\frac{15}{19})\}\)
11. \(\left\{\begin{matrix}x-2y=\frac{1}{9}\\4x=-2y+\frac{-46}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{9})\}\)
12. \(\left\{\begin{matrix}-2x+6y=-4\\x-y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(3,\frac{1}{3})\}\)