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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-199}{114}-5x\\5x-3y=\frac{-79}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{-109}{45}\\-3x=y+\frac{-53}{90}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=-15\\2x+y=\frac{25}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-105}{22}\\x=y+\frac{-13}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{-173}{11}\\-x+4y=\frac{-48}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-3y=\frac{178}{105}\\-4x+5y=\frac{-607}{105}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+5y=-3\\2x-5y=2\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+5y=\frac{646}{13}\\-6x+3y=\frac{414}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{94}{17}\\-x=4y+\frac{54}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=-7+2x\\-2x+4y=-10\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-577}{210}\\-2x-4y=\frac{-356}{105}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{175}{3}\\x=3y+\frac{400}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-199}{114}-5x\\5x-3y=\frac{-79}{38}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{-109}{45}\\-3x=y+\frac{-53}{90}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-11}{18})\}\)
3. \(\left\{\begin{matrix}-6x-6y=-15\\2x+y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(10,\frac{-15}{2})\}\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-105}{22}\\x=y+\frac{-13}{22}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{-173}{11}\\-x+4y=\frac{-48}{11}\end{matrix}\right.\qquad V=\{(4,\frac{-1}{11})\}\)
6. \(\left\{\begin{matrix}x-3y=\frac{178}{105}\\-4x+5y=\frac{-607}{105}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{-1}{7})\}\)
7. \(\left\{\begin{matrix}-x+5y=-3\\2x-5y=2\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{5})\}\)
8. \(\left\{\begin{matrix}x+5y=\frac{646}{13}\\-6x+3y=\frac{414}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},10)\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{94}{17}\\-x=4y+\frac{54}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}y=-7+2x\\-2x+4y=-10\end{matrix}\right.\qquad V=\{(3,-1)\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-577}{210}\\-2x-4y=\frac{-356}{105}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{3}{14})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{175}{3}\\x=3y+\frac{400}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},-15)\}\)