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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{176}{51}-3x\\6x-y=\frac{-581}{204}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-259}{34}\\5x=-y+\frac{427}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+6y=\frac{-182}{17}\\-6x=-6y+\frac{-98}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{68}{9}+2x\\x-y=\frac{-16}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=68\\-3x-y=\frac{69}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-5y=\frac{-55}{6}\\x=y+\frac{-1}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-53}{36}\\5x=2y+\frac{-95}{36}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{116}{13}\\2x=y+\frac{28}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=-29+2x\\5x-y=64\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=18-5x\\6x-5y=14\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-4y=8\\-x=5y+-9\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{491}{119}-2x\\x+5y=\frac{865}{238}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{176}{51}-3x\\6x-y=\frac{-581}{204}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{13}{12})\}\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-259}{34}\\5x=-y+\frac{427}{34}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{1}{17})\}\)
3. \(\left\{\begin{matrix}x+6y=\frac{-182}{17}\\-6x=-6y+\frac{-98}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}4y=\frac{68}{9}+2x\\x-y=\frac{-16}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},2)\}\)
5. \(\left\{\begin{matrix}-5x-4y=68\\-3x-y=\frac{69}{2}\end{matrix}\right.\qquad V=\{(-10,\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}-3x-5y=\frac{-55}{6}\\x=y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-53}{36}\\5x=2y+\frac{-95}{36}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-5}{9})\}\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{116}{13}\\2x=y+\frac{28}{39}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-4}{3})\}\)
9. \(\left\{\begin{matrix}-3y=-29+2x\\5x-y=64\end{matrix}\right.\qquad V=\{(13,1)\}\)
10. \(\left\{\begin{matrix}-y=18-5x\\6x-5y=14\end{matrix}\right.\qquad V=\{(4,2)\}\)
11. \(\left\{\begin{matrix}3x-4y=8\\-x=5y+-9\end{matrix}\right.\qquad V=\{(4,1)\}\)
12. \(\left\{\begin{matrix}6y=\frac{491}{119}-2x\\x+5y=\frac{865}{238}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{11}{14})\}\)