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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{18}{5}\\x=-5y+\frac{-68}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{3}{2}+3x\\-6x+y=42\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-41}{3}\\x+6y=\frac{-382}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{421}{20}+3x\\-x+y=\frac{107}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{75}{8}\\-2x+y=\frac{-63}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-14}{5}\\-x+6y=\frac{19}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-83}{6}\\-5x=y+\frac{527}{36}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+5y=\frac{-61}{9}\\-6x=3y+\frac{-16}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{109}{12}-x\\4x+6y=\frac{79}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{488}{91}\\x=-5y+\frac{596}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-869}{17}-6x\\-x+2y=\frac{363}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-2y=\frac{71}{52}\\3x+4y=\frac{-77}{52}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{18}{5}\\x=-5y+\frac{-68}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{15},-1)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{3}{2}+3x\\-6x+y=42\end{matrix}\right.\qquad V=\{(\frac{-13}{2},3)\}\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-41}{3}\\x+6y=\frac{-382}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-19}{5})\}\)
4. \(\left\{\begin{matrix}4y=\frac{421}{20}+3x\\-x+y=\frac{107}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},5)\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{75}{8}\\-2x+y=\frac{-63}{8}\end{matrix}\right.\qquad V=\{(5,\frac{17}{8})\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-14}{5}\\-x+6y=\frac{19}{5}\end{matrix}\right.\qquad V=\{(1,\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-83}{6}\\-5x=y+\frac{527}{36}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-8}{9})\}\)
8. \(\left\{\begin{matrix}-x+5y=\frac{-61}{9}\\-6x=3y+\frac{-16}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-6}{5})\}\)
9. \(\left\{\begin{matrix}2y=\frac{109}{12}-x\\4x+6y=\frac{79}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},5)\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{488}{91}\\x=-5y+\frac{596}{91}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{20}{13})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-869}{17}-6x\\-x+2y=\frac{363}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},11)\}\)
12. \(\left\{\begin{matrix}-x-2y=\frac{71}{52}\\3x+4y=\frac{-77}{52}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-17}{13})\}\)