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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{11}{5}\\x-6y=\frac{-9}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=\frac{93}{8}\\-x-y=\frac{29}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-y=\frac{-11}{2}\\6x=5y+-17\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-36}{5}\\-x=2y+\frac{-22}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+2y=\frac{-3}{4}\\x=y+\frac{9}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{382}{99}-5x\\5x+y=\frac{731}{198}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+y=\frac{-2}{9}\\3x-5y=\frac{34}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{627}{112}+4x\\-2x+y=\frac{471}{112}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-106}{17}+x\\4x+4y=\frac{-120}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{201}{38}\\5x-y=\frac{-429}{152}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-41}{9}\\-x=-6y+\frac{31}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{29}{6}-4x\\x+y=\frac{-19}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{11}{5}\\x-6y=\frac{-9}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}6x-4y=\frac{93}{8}\\-x-y=\frac{29}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-9}{4})\}\)
3. \(\left\{\begin{matrix}4x-y=\frac{-11}{2}\\6x=5y+-17\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{2})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-36}{5}\\-x=2y+\frac{-22}{5}\end{matrix}\right.\qquad V=\{(6,\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}3x+2y=\frac{-3}{4}\\x=y+\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}4y=\frac{382}{99}-5x\\5x+y=\frac{731}{198}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{1}{18})\}\)
7. \(\left\{\begin{matrix}x+y=\frac{-2}{9}\\3x-5y=\frac{34}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{627}{112}+4x\\-2x+y=\frac{471}{112}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-15}{16})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-106}{17}+x\\4x+4y=\frac{-120}{17}\end{matrix}\right.\qquad V=\{(\frac{4}{17},-2)\}\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{201}{38}\\5x-y=\frac{-429}{152}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{18}{19})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-41}{9}\\-x=-6y+\frac{31}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{4}{9})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{29}{6}-4x\\x+y=\frac{-19}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-5}{2})\}\)