Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{41}{20}+2x\\-x-5y=\frac{-16}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-85}{22}-3x\\x-y=\frac{1}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-71}{9}\\x=-5y+\frac{-77}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=-2+3x\\-x+6y=\frac{14}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-69}{8}+3x\\6x-y=\frac{-15}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{101}{13}\\-4x=2y+\frac{-190}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{149}{21}+x\\-5x-6y=\frac{631}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{82}{7}\\2x=y+\frac{-50}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{42}{5}\\2x+y=-5\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-17}{15}\\x-y=\frac{-13}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-y=-5\\-2x=5y+-81\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-19}{3}-5x\\-x+6y=\frac{127}{15}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{41}{20}+2x\\-x-5y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{13}{20})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-85}{22}-3x\\x-y=\frac{1}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{-71}{9}\\x=-5y+\frac{-77}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},-1)\}\)
4. \(\left\{\begin{matrix}-6y=-2+3x\\-x+6y=\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-69}{8}+3x\\6x-y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},3)\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{101}{13}\\-4x=2y+\frac{-190}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-3}{13})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{149}{21}+x\\-5x-6y=\frac{631}{21}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-2}{7})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{82}{7}\\2x=y+\frac{-50}{21}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-4}{3})\}\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{42}{5}\\2x+y=-5\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-17}{15}\\x-y=\frac{-13}{30}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-6x-y=-5\\-2x=5y+-81\end{matrix}\right.\qquad V=\{(-2,17)\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-19}{3}-5x\\-x+6y=\frac{127}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{4}{3})\}\)