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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{291}{38}\\x-y=\frac{21}{190}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-1537}{17}+5x\\-3x+6y=\frac{-876}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{32}{3}\\-4x=-y+\frac{-19}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=\frac{-34}{3}\\-x=-5y+\frac{-71}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{53}{3}\\6x+6y=-34\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{-197}{63}\\x=5y+\frac{67}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{440}{17}\\-2x-y=\frac{100}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{1093}{17}-5x\\-5x+4y=\frac{-1057}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{-24}{7}\\6x=3y+\frac{171}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{529}{18}+6x\\-5x+y=\frac{425}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-290}{17}\\-x=4y+\frac{325}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-8-4x\\-x+y=\frac{13}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{291}{38}\\x-y=\frac{21}{190}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{15}{19})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-1537}{17}+5x\\-3x+6y=\frac{-876}{17}\end{matrix}\right.\qquad V=\{(18,\frac{7}{17})\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{32}{3}\\-4x=-y+\frac{-19}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-13}{9})\}\)
4. \(\left\{\begin{matrix}6x+3y=\frac{-34}{3}\\-x=-5y+\frac{-71}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-16}{9})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{53}{3}\\6x+6y=-34\end{matrix}\right.\qquad V=\{(-1,\frac{-14}{3})\}\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{-197}{63}\\x=5y+\frac{67}{63}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{1}{7})\}\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{440}{17}\\-2x-y=\frac{100}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},-4)\}\)
8. \(\left\{\begin{matrix}-y=\frac{1093}{17}-5x\\-5x+4y=\frac{-1057}{17}\end{matrix}\right.\qquad V=\{(13,\frac{12}{17})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{-24}{7}\\6x=3y+\frac{171}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-15}{7})\}\)
10. \(\left\{\begin{matrix}5y=\frac{529}{18}+6x\\-5x+y=\frac{425}{18}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{5}{18})\}\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-290}{17}\\-x=4y+\frac{325}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-20}{17})\}\)
12. \(\left\{\begin{matrix}-3y=-8-4x\\-x+y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{2}{3})\}\)