Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+6y=\frac{-9}{2}\\6x=y+\frac{-8}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-764}{9}+6x\\-3x-6y=\frac{-110}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-29}{3}\\-x=-5y+\frac{8}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-170}{39}\\-4x=-y+\frac{-275}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-47}{15}-6x\\x-5y=\frac{77}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{-5}{3}\\x=4y+\frac{11}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-22}{13}\\-2x=-2y+\frac{-116}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-y=\frac{-31}{20}\\5x=-5y+\frac{-59}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-4y=\frac{-22}{7}\\x+3y=\frac{64}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{221}{16}+3x\\-5x+2y=\frac{219}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-301}{51}\\x-3y=\frac{-217}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-11}{5}+x\\6x-3y=\frac{-22}{5}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+6y=\frac{-9}{2}\\6x=y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}y=\frac{-764}{9}+6x\\-3x-6y=\frac{-110}{3}\end{matrix}\right.\qquad V=\{(14,\frac{-8}{9})\}\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-29}{3}\\-x=-5y+\frac{8}{3}\end{matrix}\right.\qquad V=\{(1,\frac{11}{15})\}\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-170}{39}\\-4x=-y+\frac{-275}{39}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-5}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-47}{15}-6x\\x-5y=\frac{77}{60}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-5}{12})\}\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{-5}{3}\\x=4y+\frac{11}{15}\end{matrix}\right.\qquad V=\{(1,\frac{1}{15})\}\)
7. \(\left\{\begin{matrix}-x+5y=\frac{-22}{13}\\-2x=-2y+\frac{-116}{65}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}5x-y=\frac{-31}{20}\\5x=-5y+\frac{-59}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-11}{5})\}\)
9. \(\left\{\begin{matrix}2x-4y=\frac{-22}{7}\\x+3y=\frac{64}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{15}{7})\}\)
10. \(\left\{\begin{matrix}-y=\frac{221}{16}+3x\\-5x+2y=\frac{219}{8}\end{matrix}\right.\qquad V=\{(-5,\frac{19}{16})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-301}{51}\\x-3y=\frac{-217}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{14}{9})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-11}{5}+x\\6x-3y=\frac{-22}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-8}{15})\}\)