Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-6y=\frac{-13}{5}\\-5x=y+\frac{12}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-1}{7}\\6x=y+\frac{37}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{345}{14}+3x\\5x-y=\frac{13}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{38}{17}+x\\2x-6y=\frac{-32}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-2y=\frac{11}{36}\\-5x-4y=\frac{67}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-4y=\frac{316}{55}\\x=-4y+\frac{-96}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-3y=\frac{55}{14}\\2x=y+\frac{67}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-1093}{304}-2x\\-x-y=\frac{423}{304}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{1286}{209}\\6x=-y+\frac{2011}{209}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{381}{55}+x\\3x+4y=\frac{441}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{311}{6}\\-5x=y+\frac{1169}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{109}{33}\\3x=2y+\frac{-13}{99}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-6y=\frac{-13}{5}\\-5x=y+\frac{12}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-1}{7}\\6x=y+\frac{37}{7}\end{matrix}\right.\qquad V=\{(1,\frac{5}{7})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{345}{14}+3x\\5x-y=\frac{13}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-9}{2})\}\)
4. \(\left\{\begin{matrix}5y=\frac{38}{17}+x\\2x-6y=\frac{-32}{17}\end{matrix}\right.\qquad V=\{(1,\frac{11}{17})\}\)
5. \(\left\{\begin{matrix}x-2y=\frac{11}{36}\\-5x-4y=\frac{67}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-3}{8})\}\)
6. \(\left\{\begin{matrix}4x-4y=\frac{316}{55}\\x=-4y+\frac{-96}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-7}{11})\}\)
7. \(\left\{\begin{matrix}4x-3y=\frac{55}{14}\\2x=y+\frac{67}{28}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{6}{7})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-1093}{304}-2x\\-x-y=\frac{423}{304}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{-13}{16})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{1286}{209}\\6x=-y+\frac{2011}{209}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{17}{19})\}\)
10. \(\left\{\begin{matrix}4y=\frac{381}{55}+x\\3x+4y=\frac{441}{55}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{311}{6}\\-5x=y+\frac{1169}{18}\end{matrix}\right.\qquad V=\{(-13,\frac{1}{18})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{109}{33}\\3x=2y+\frac{-13}{99}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-8}{9})\}\)