Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{172}{105}-3x\\-x-6y=\frac{306}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{93}{13}-x\\5x-4y=\frac{1}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-361}{33}\\6x-4y=\frac{526}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{-64}{33}\\-x+6y=\frac{-313}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{-351}{176}\\x-2y=\frac{795}{176}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-5}{3}-x\\-2x-4y=\frac{4}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{299}{45}\\x+2y=\frac{98}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-17}{12}\\3x=y+\frac{-43}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=9\\x-4y=\frac{18}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{479}{26}\\x=-3y+\frac{-285}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{214}{15}+2x\\x-2y=\frac{64}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{105}{44}\\x+2y=\frac{-111}{44}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{172}{105}-3x\\-x-6y=\frac{306}{35}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-19}{15})\}\)
2. \(\left\{\begin{matrix}5y=\frac{93}{13}-x\\5x-4y=\frac{1}{13}\end{matrix}\right.\qquad V=\{(1,\frac{16}{13})\}\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-361}{33}\\6x-4y=\frac{526}{33}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{-64}{33}\\-x+6y=\frac{-313}{33}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-18}{11})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{-351}{176}\\x-2y=\frac{795}{176}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-19}{11})\}\)
6. \(\left\{\begin{matrix}y=\frac{-5}{3}-x\\-2x-4y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},1)\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{299}{45}\\x+2y=\frac{98}{45}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-17}{12}\\3x=y+\frac{-43}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{1}{8})\}\)
9. \(\left\{\begin{matrix}4x+2y=9\\x-4y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-3}{10})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{479}{26}\\x=-3y+\frac{-285}{26}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-7}{2})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{214}{15}+2x\\x-2y=\frac{64}{15}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-19}{5})\}\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{105}{44}\\x+2y=\frac{-111}{44}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{-17}{8})\}\)