Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{109}{38}\\2x=-y+\frac{-36}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-509}{30}\\-x=y+\frac{-71}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{164}{9}-6x\\-x-3y=\frac{11}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=38-3x\\-x+2y=\frac{-38}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{383}{8}\\-4x+y=\frac{47}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{386}{21}\\x=-5y+\frac{101}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=-14-x\\6x-3y=-9\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-172}{15}-2x\\x+y=\frac{-86}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-5y=\frac{17}{2}\\-x=3y+\frac{-49}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-1046}{285}\\5x+5y=\frac{529}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-3y=\frac{13}{38}\\-x=4y+\frac{-31}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{14}{15}\\x-2y=\frac{2}{15}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{109}{38}\\2x=-y+\frac{-36}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-17}{19})\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-509}{30}\\-x=y+\frac{-71}{30}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{164}{9}-6x\\-x-3y=\frac{11}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-10}{9})\}\)
4. \(\left\{\begin{matrix}-6y=38-3x\\-x+2y=\frac{-38}{3}\end{matrix}\right.\qquad V=\{(\frac{20}{3},-3)\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{383}{8}\\-4x+y=\frac{47}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{16},12)\}\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{386}{21}\\x=-5y+\frac{101}{63}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{7}{9})\}\)
7. \(\left\{\begin{matrix}2y=-14-x\\6x-3y=-9\end{matrix}\right.\qquad V=\{(-4,-5)\}\)
8. \(\left\{\begin{matrix}2y=\frac{-172}{15}-2x\\x+y=\frac{-86}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},-5)\}\)
9. \(\left\{\begin{matrix}5x-5y=\frac{17}{2}\\-x=3y+\frac{-49}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-1046}{285}\\5x+5y=\frac{529}{57}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{16}{15})\}\)
11. \(\left\{\begin{matrix}-5x-3y=\frac{13}{38}\\-x=4y+\frac{-31}{19}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{14}{15}\\x-2y=\frac{2}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-2}{3})\}\)