Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-6y=\frac{-53}{5}\\x-2y=\frac{-23}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-463}{68}+5x\\3x+3y=\frac{-885}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-23}{18}-2x\\x-2y=\frac{73}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-y=\frac{-61}{4}\\-3x+3y=\frac{183}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-336}{17}\\2x+y=\frac{-66}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{103}{3}\\-x=y+\frac{-34}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-79}{2}\\-3x+y=15\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{-761}{91}\\-x+y=\frac{-148}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-24}{13}\\5x-3y=\frac{204}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-81}{16}\\5x=-2y+\frac{55}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{7}{9}\\5x-y=\frac{34}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{1041}{19}\\4x+y=\frac{-1274}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-6y=\frac{-53}{5}\\x-2y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{12}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{-463}{68}+5x\\3x+3y=\frac{-885}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-19}{4})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-23}{18}-2x\\x-2y=\frac{73}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-8}{9})\}\)
4. \(\left\{\begin{matrix}x-y=\frac{-61}{4}\\-3x+3y=\frac{183}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},16)\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-336}{17}\\2x+y=\frac{-66}{17}\end{matrix}\right.\qquad V=\{(\frac{18}{17},-6)\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{103}{3}\\-x=y+\frac{-34}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},13)\}\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-79}{2}\\-3x+y=15\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{19}{2})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{-761}{91}\\-x+y=\frac{-148}{91}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{3}{13})\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-24}{13}\\5x-3y=\frac{204}{13}\end{matrix}\right.\qquad V=\{(3,\frac{-3}{13})\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-81}{16}\\5x=-2y+\frac{55}{8}\end{matrix}\right.\qquad V=\{(1,\frac{15}{16})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{7}{9}\\5x-y=\frac{34}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},-1)\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{1041}{19}\\4x+y=\frac{-1274}{19}\end{matrix}\right.\qquad V=\{(-17,\frac{18}{19})\}\)