Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{87}{13}\\-4x+2y=\frac{-238}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-1021}{136}+5x\\-2x-y=\frac{-185}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{-41}{9}\\-5x=3y+\frac{17}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=-19-x\\-4x-3y=\frac{31}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{-213}{65}\\-3x=y+\frac{383}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{79}{6}\\x=y+\frac{-79}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{-23}{6}\\-4x-4y=\frac{122}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+3y=\frac{-56}{15}\\x+y=\frac{-4}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{11}{30}+x\\5x+2y=\frac{52}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-39}{35}-2x\\x-4y=\frac{18}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-49}{6}-3x\\3x-y=\frac{-22}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{15}{8}\\5x=4y+\frac{111}{8}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{87}{13}\\-4x+2y=\frac{-238}{13}\end{matrix}\right.\qquad V=\{(5,\frac{11}{13})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-1021}{136}+5x\\-2x-y=\frac{-185}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{8}{17})\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{-41}{9}\\-5x=3y+\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{9})\}\)
4. \(\left\{\begin{matrix}6y=-19-x\\-4x-3y=\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{4})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{-213}{65}\\-3x=y+\frac{383}{65}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{17}{13})\}\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{79}{6}\\x=y+\frac{-79}{30}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{-23}{6}\\-4x-4y=\frac{122}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}5x+3y=\frac{-56}{15}\\x+y=\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-2}{15})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{11}{30}+x\\5x+2y=\frac{52}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-39}{35}-2x\\x-4y=\frac{18}{35}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-3}{7})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-49}{6}-3x\\3x-y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{15}{8}\\5x=4y+\frac{111}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},-3)\}\)