Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+3y=\frac{-141}{11}\\5x-y=\frac{75}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-4y=\frac{-207}{10}\\-3x-2y=\frac{-79}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{-53}{40}\\x=2y+\frac{19}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-111}{14}+3x\\3x+3y=\frac{363}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-6y=\frac{766}{11}\\x=6y+\frac{736}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{53}{6}\\x=y+2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+6y=\frac{99}{4}\\-6x=-y+\frac{-303}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+5y=\frac{-115}{36}\\-x-6y=\frac{35}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{-127}{34}\\x=-2y+\frac{55}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{43}{8}-5x\\5x-y=\frac{101}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{308}{95}\\2x-y=\frac{273}{190}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{2}{45}\\-x+5y=\frac{61}{18}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+3y=\frac{-141}{11}\\5x-y=\frac{75}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},-5)\}\)
2. \(\left\{\begin{matrix}x-4y=\frac{-207}{10}\\-3x-2y=\frac{-79}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},5)\}\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{-53}{40}\\x=2y+\frac{19}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-5}{8})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-111}{14}+3x\\3x+3y=\frac{363}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},9)\}\)
5. \(\left\{\begin{matrix}4x-6y=\frac{766}{11}\\x=6y+\frac{736}{11}\end{matrix}\right.\qquad V=\{(\frac{10}{11},-11)\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{53}{6}\\x=y+2\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-17}{12})\}\)
7. \(\left\{\begin{matrix}6x+6y=\frac{99}{4}\\-6x=-y+\frac{-303}{8}\end{matrix}\right.\qquad V=\{(6,\frac{-15}{8})\}\)
8. \(\left\{\begin{matrix}-2x+5y=\frac{-115}{36}\\-x-6y=\frac{35}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-5}{12})\}\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{-127}{34}\\x=-2y+\frac{55}{34}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}2y=\frac{43}{8}-5x\\5x-y=\frac{101}{16}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-5}{16})\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{308}{95}\\2x-y=\frac{273}{190}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-7}{10})\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{2}{45}\\-x+5y=\frac{61}{18}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{4}{5})\}\)