Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=\frac{83}{44}\\5x=5y+\frac{305}{44}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-26}{17}\\-2x-y=\frac{-61}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{-313}{45}\\-2x-5y=\frac{-124}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{1}{4}\\4x=2y+\frac{-4}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-59}{14}+3x\\-5x-4y=\frac{-145}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-17}{4}\\4x+y=\frac{3}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-9}{2}\\-5x-y=\frac{-79}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{65}{42}+5x\\-x+3y=\frac{22}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{35}{2}-5x\\-x-2y=\frac{-39}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=-10\\x=y+\frac{11}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-121}{255}+x\\3x+5y=\frac{-43}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{28}{5}\\6x+3y=\frac{-36}{5}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=\frac{83}{44}\\5x=5y+\frac{305}{44}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-26}{17}\\-2x-y=\frac{-61}{34}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{5}{17})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{-313}{45}\\-2x-5y=\frac{-124}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{10}{9})\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{1}{4}\\4x=2y+\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{-3}{10})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-59}{14}+3x\\-5x-4y=\frac{-145}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{10}{7})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-17}{4}\\4x+y=\frac{3}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{8})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-9}{2}\\-5x-y=\frac{-79}{8}\end{matrix}\right.\qquad V=\{(2,\frac{-1}{8})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{65}{42}+5x\\-x+3y=\frac{22}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{5}{6})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{35}{2}-5x\\-x-2y=\frac{-39}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{2},5)\}\)
10. \(\left\{\begin{matrix}-3x+6y=-10\\x=y+\frac{11}{3}\end{matrix}\right.\qquad V=\{(4,\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-121}{255}+x\\3x+5y=\frac{-43}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-2}{15})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{28}{5}\\6x+3y=\frac{-36}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{4}{5})\}\)