Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{69}{16}+5x\\3x+4y=\frac{23}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-12}{5}\\-x-3y=\frac{92}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-17}{3}\\2x=-5y+\frac{67}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{17}{3}+6x\\x+6y=\frac{20}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-1229}{119}\\2x-y=\frac{365}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{32}{15}+x\\4x+3y=\frac{-71}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+4y=-40\\5x+y=-5\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{-395}{176}\\-3x=-3y+\frac{831}{176}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{-163}{2}\\6x+y=\frac{105}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{145}{8}\\x=5y+\frac{-37}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-78}{7}-2x\\x-5y=\frac{25}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+y=\frac{17}{24}\\-6x=-2y+\frac{3}{4}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{69}{16}+5x\\3x+4y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{17}{16})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-12}{5}\\-x-3y=\frac{92}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-8}{5})\}\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-17}{3}\\2x=-5y+\frac{67}{6}\end{matrix}\right.\qquad V=\{(6,\frac{-1}{6})\}\)
4. \(\left\{\begin{matrix}2y=\frac{17}{3}+6x\\x+6y=\frac{20}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-1229}{119}\\2x-y=\frac{365}{119}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-19}{7})\}\)
6. \(\left\{\begin{matrix}4y=\frac{32}{15}+x\\4x+3y=\frac{-71}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{1}{5})\}\)
7. \(\left\{\begin{matrix}-5x+4y=-40\\5x+y=-5\end{matrix}\right.\qquad V=\{(\frac{4}{5},-9)\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{-395}{176}\\-3x=-3y+\frac{831}{176}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{7}{11})\}\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{-163}{2}\\6x+y=\frac{105}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{8},12)\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{145}{8}\\x=5y+\frac{-37}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{11}{8})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-78}{7}-2x\\x-5y=\frac{25}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-8}{7})\}\)
12. \(\left\{\begin{matrix}-4x+y=\frac{17}{24}\\-6x=-2y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-5}{8})\}\)