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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-53}{20}+4x\\-4x-y=\frac{-113}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-5y=\frac{49}{90}\\-x=-2y+\frac{-77}{180}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-103}{36}+2x\\-x+3y=\frac{97}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{-245}{102}\\2x-y=\frac{40}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-4y=-34\\x=6y+-9\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-93}{5}-2x\\-x-6y=\frac{6}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-165}{7}+6x\\4x-y=\frac{205}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=-7-6x\\x-2y=-4\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{16}{3}\\3x=-y+\frac{-10}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{47}{3}\\-6x=y+\frac{-1}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{121}{6}\\-4x=y+\frac{107}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{33}{5}\\2x-4y=\frac{-66}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-53}{20}+4x\\-4x-y=\frac{-113}{20}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}4x-5y=\frac{49}{90}\\-x=-2y+\frac{-77}{180}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{-7}{18})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-103}{36}+2x\\-x+3y=\frac{97}{36}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{3}{4})\}\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{-245}{102}\\2x-y=\frac{40}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{15}{17})\}\)
5. \(\left\{\begin{matrix}3x-4y=-34\\x=6y+-9\end{matrix}\right.\qquad V=\{(-12,\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-93}{5}-2x\\-x-6y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(-12,\frac{9}{5})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-165}{7}+6x\\4x-y=\frac{205}{14}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{5}{14})\}\)
8. \(\left\{\begin{matrix}5y=-7-6x\\x-2y=-4\end{matrix}\right.\qquad V=\{(-2,1)\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{16}{3}\\3x=-y+\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},-1)\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{47}{3}\\-6x=y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{3})\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{121}{6}\\-4x=y+\frac{107}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{33}{5}\\2x-4y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},3)\}\)