Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{-2}{3}\\-x+y=\frac{-31}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-6y=\frac{-374}{5}\\x+4y=\frac{141}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{109}{38}\\-6x=-y+\frac{-365}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{-66}{35}\\x+3y=\frac{-573}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{5}{6}+5x\\5x-y=\frac{13}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-876}{221}\\-x=4y+\frac{-310}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-967}{323}-4x\\-6x-y=\frac{235}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-1460}{77}-6x\\-2x-y=\frac{510}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-107}{63}\\5x-y=\frac{-781}{126}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=64\\x=-y+15\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+2y=\frac{1}{10}\\-5x+y=\frac{-9}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-3y=\frac{-129}{11}\\x+6y=\frac{-199}{22}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{-2}{3}\\-x+y=\frac{-31}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-11}{3})\}\)
2. \(\left\{\begin{matrix}-4x-6y=\frac{-374}{5}\\x+4y=\frac{141}{5}\end{matrix}\right.\qquad V=\{(13,\frac{19}{5})\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{109}{38}\\-6x=-y+\frac{-365}{76}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{-66}{35}\\x+3y=\frac{-573}{70}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-17}{7})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{5}{6}+5x\\5x-y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-876}{221}\\-x=4y+\frac{-310}{221}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{8}{13})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-967}{323}-4x\\-6x-y=\frac{235}{323}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{13}{19})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-1460}{77}-6x\\-2x-y=\frac{510}{77}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-10}{11})\}\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-107}{63}\\5x-y=\frac{-781}{126}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{9}{14})\}\)
10. \(\left\{\begin{matrix}2x+4y=64\\x=-y+15\end{matrix}\right.\qquad V=\{(-2,17)\}\)
11. \(\left\{\begin{matrix}3x+2y=\frac{1}{10}\\-5x+y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{10},-1)\}\)
12. \(\left\{\begin{matrix}6x-3y=\frac{-129}{11}\\x+6y=\frac{-199}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-12}{11})\}\)