Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-4y=\frac{31}{5}\\5x=-2y+\frac{-92}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=38+2x\\-2x-y=35\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-29}{88}\\2x-2y=\frac{61}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{7}{5}-2x\\-x+4y=\frac{28}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{26}{17}\\x=-6y+\frac{-77}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-13}{9}+4x\\4x+y=\frac{19}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-13}{2}-x\\-5x+6y=\frac{-19}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-206}{57}\\x=-2y+\frac{-80}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{-471}{20}\\5x=-y+\frac{53}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+4y=\frac{427}{24}\\-6x+4y=\frac{287}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{126}{19}\\3x-y=\frac{-25}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=7\\-x=3y+\frac{25}{4}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-4y=\frac{31}{5}\\5x=-2y+\frac{-92}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-7}{10})\}\)
2. \(\left\{\begin{matrix}2y=38+2x\\-2x-y=35\end{matrix}\right.\qquad V=\{(-18,1)\}\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-29}{88}\\2x-2y=\frac{61}{44}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-7}{8})\}\)
4. \(\left\{\begin{matrix}6y=\frac{7}{5}-2x\\-x+4y=\frac{28}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{9}{10})\}\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{26}{17}\\x=-6y+\frac{-77}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{17})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-13}{9}+4x\\4x+y=\frac{19}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-13}{2}-x\\-5x+6y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-2)\}\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-206}{57}\\x=-2y+\frac{-80}{57}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{-471}{20}\\5x=-y+\frac{53}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{17}{4})\}\)
10. \(\left\{\begin{matrix}x+4y=\frac{427}{24}\\-6x+4y=\frac{287}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{14}{3})\}\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{126}{19}\\3x-y=\frac{-25}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},1)\}\)
12. \(\left\{\begin{matrix}4x-4y=7\\-x=3y+\frac{25}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-2)\}\)