Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-6y=\frac{110}{7}\\-4x=-y+\frac{-75}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-6y=\frac{67}{5}\\2x-6y=\frac{62}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{173}{15}+3x\\4x+y=\frac{-263}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-738}{323}+3x\\-x+y=\frac{94}{323}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{55}{12}\\x+y=\frac{-29}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-5y=50\\x=4y+-2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-618}{323}\\4x+y=\frac{616}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-15}{17}\\-6x=-y+\frac{-61}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{328}{19}\\-5x-y=\frac{-62}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=-11\\-x+y=\frac{11}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=42-4x\\5x+y=72\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{172}{55}-6x\\5x+3y=\frac{59}{55}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-6y=\frac{110}{7}\\-4x=-y+\frac{-75}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},-1)\}\)
2. \(\left\{\begin{matrix}x-6y=\frac{67}{5}\\2x-6y=\frac{62}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-12}{5})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{173}{15}+3x\\4x+y=\frac{-263}{30}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-7}{6})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-738}{323}+3x\\-x+y=\frac{94}{323}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{10}{19})\}\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{55}{12}\\x+y=\frac{-29}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-8}{3})\}\)
6. \(\left\{\begin{matrix}-4x-5y=50\\x=4y+-2\end{matrix}\right.\qquad V=\{(-10,-2)\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{-618}{323}\\4x+y=\frac{616}{323}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-4}{19})\}\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-15}{17}\\-6x=-y+\frac{-61}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-19}{17})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{328}{19}\\-5x-y=\frac{-62}{19}\end{matrix}\right.\qquad V=\{(\frac{20}{19},-2)\}\)
10. \(\left\{\begin{matrix}5x-5y=-11\\-x+y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},2)\}\)
11. \(\left\{\begin{matrix}6y=42-4x\\5x+y=72\end{matrix}\right.\qquad V=\{(15,-3)\}\)
12. \(\left\{\begin{matrix}-y=\frac{172}{55}-6x\\5x+3y=\frac{59}{55}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-2}{5})\}\)