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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=\frac{-106}{9}\\5x=4y+\frac{89}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+3y=\frac{146}{19}\\-6x=-y+\frac{-230}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=36\\-x-y=-11\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-y=-6\\-6x+2y=12\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+5y=\frac{-65}{24}\\2x=6y+\frac{21}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{29}{21}\\-3x=-6y+\frac{-25}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+5y=\frac{-16}{17}\\x=-6y+\frac{-716}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=-3-4x\\-x-y=\frac{21}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{77}{76}\\4x-6y=\frac{-179}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-4}{3}\\-x=-y+\frac{2}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{127}{76}-2x\\-3x-4y=\frac{-107}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-6y=\frac{101}{12}\\-6x=-4y+\frac{11}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=\frac{-106}{9}\\5x=4y+\frac{89}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}4x+3y=\frac{146}{19}\\-6x=-y+\frac{-230}{19}\end{matrix}\right.\qquad V=\{(2,\frac{-2}{19})\}\)
3. \(\left\{\begin{matrix}4x-4y=36\\-x-y=-11\end{matrix}\right.\qquad V=\{(10,1)\}\)
4. \(\left\{\begin{matrix}3x-y=-6\\-6x+2y=12\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{19}{5})\}\)
5. \(\left\{\begin{matrix}x+5y=\frac{-65}{24}\\2x=6y+\frac{21}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{29}{21}\\-3x=-6y+\frac{-25}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{7})\}\)
7. \(\left\{\begin{matrix}6x+5y=\frac{-16}{17}\\x=-6y+\frac{-716}{85}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-8}{5})\}\)
8. \(\left\{\begin{matrix}5y=-3-4x\\-x-y=\frac{21}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-9}{10})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{77}{76}\\4x-6y=\frac{-179}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-4}{3}\\-x=-y+\frac{2}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-4}{9})\}\)
11. \(\left\{\begin{matrix}y=\frac{127}{76}-2x\\-3x-4y=\frac{-107}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}-x-6y=\frac{101}{12}\\-6x=-4y+\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-9}{8})\}\)