Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+3y=-9\\-6x=y+\frac{33}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-17}{4}\\2x+y=1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{97}{7}-5x\\x+4y=\frac{29}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-71}{19}\\x-5y=\frac{491}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{327}{8}-3x\\-x+2y=\frac{203}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-38}{5}\\6x=y+\frac{17}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=-3\\-5x-y=\frac{-2}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-319}{14}\\-x=y+\frac{-129}{70}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{-13}{19}\\x-2y=\frac{-2}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{334}{95}\\3x=-2y+\frac{-452}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{7}{4}+2x\\-x+6y=\frac{-65}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+y=\frac{-52}{51}\\-6x-5y=\frac{-225}{17}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+3y=-9\\-6x=y+\frac{33}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-17}{4}\\2x+y=1\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{97}{7}-5x\\x+4y=\frac{29}{7}\end{matrix}\right.\qquad V=\{(3,\frac{2}{7})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-71}{19}\\x-5y=\frac{491}{38}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-5}{2})\}\)
5. \(\left\{\begin{matrix}3y=\frac{327}{8}-3x\\-x+2y=\frac{203}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},13)\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-38}{5}\\6x=y+\frac{17}{30}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{-13}{6})\}\)
7. \(\left\{\begin{matrix}5x+3y=-3\\-5x-y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{6})\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{-319}{14}\\-x=y+\frac{-129}{70}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-19}{14})\}\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{-13}{19}\\x-2y=\frac{-2}{19}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{334}{95}\\3x=-2y+\frac{-452}{95}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-11}{19})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{7}{4}+2x\\-x+6y=\frac{-65}{8}\end{matrix}\right.\qquad V=\{(\frac{17}{8},-1)\}\)
12. \(\left\{\begin{matrix}-x+y=\frac{-52}{51}\\-6x-5y=\frac{-225}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{11}{17})\}\)