Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+y=\frac{-41}{8}\\3x=2y+\frac{93}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-y=\frac{57}{85}\\-4x+5y=\frac{633}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{29}{13}-x\\5x+6y=\frac{255}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{19}{3}+5x\\x+6y=\frac{16}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{110}{51}-4x\\6x+y=\frac{41}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-443}{52}+6x\\-2x+y=\frac{-773}{260}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{3}{7}\\-6x=y+\frac{-55}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{-43}{66}\\3x+6y=\frac{377}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{25}{4}\\-x=-y+\frac{29}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{713}{117}\\-x=6y+\frac{1361}{234}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{17}{19}+4x\\-x-4y=\frac{-124}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{-153}{14}\\5x+3y=\frac{-489}{14}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+y=\frac{-41}{8}\\3x=2y+\frac{93}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-9}{8})\}\)
2. \(\left\{\begin{matrix}-x-y=\frac{57}{85}\\-4x+5y=\frac{633}{85}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{9}{17})\}\)
3. \(\left\{\begin{matrix}-y=\frac{29}{13}-x\\5x+6y=\frac{255}{13}\end{matrix}\right.\qquad V=\{(3,\frac{10}{13})\}\)
4. \(\left\{\begin{matrix}3y=\frac{19}{3}+5x\\x+6y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},1)\}\)
5. \(\left\{\begin{matrix}2y=\frac{110}{51}-4x\\6x+y=\frac{41}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{17})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-443}{52}+6x\\-2x+y=\frac{-773}{260}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-1}{20})\}\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{3}{7}\\-6x=y+\frac{-55}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},1)\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{-43}{66}\\3x+6y=\frac{377}{22}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{14}{11})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{25}{4}\\-x=-y+\frac{29}{16}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-7}{16})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{713}{117}\\-x=6y+\frac{1361}{234}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-12}{13})\}\)
11. \(\left\{\begin{matrix}2y=\frac{17}{19}+4x\\-x-4y=\frac{-124}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{3}{2})\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{-153}{14}\\5x+3y=\frac{-489}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},-12)\}\)