Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-461}{20}+6x\\6x-5y=\frac{115}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-101}{38}\\x=y+\frac{29}{76}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-9}{5}-6x\\-5x-2y=\frac{143}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{19}{8}+5x\\3x+5y=\frac{-51}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{317}{10}+5x\\x-6y=\frac{-89}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-1868}{221}\\4x+y=\frac{893}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=-9\\6x-3y=\frac{-9}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=\frac{11}{20}\\3x=-y+\frac{-39}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-269}{7}\\2x+4y=\frac{286}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{2}{3}-5x\\-x-y=\frac{-5}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+4y=\frac{-47}{171}\\6x-3y=\frac{311}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{418}{51}\\-x-4y=\frac{-839}{153}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-461}{20}+6x\\6x-5y=\frac{115}{4}\end{matrix}\right.\qquad V=\{(4,\frac{-19}{20})\}\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-101}{38}\\x=y+\frac{29}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-12}{19})\}\)
3. \(\left\{\begin{matrix}y=\frac{-9}{5}-6x\\-5x-2y=\frac{143}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-14}{5})\}\)
4. \(\left\{\begin{matrix}-y=\frac{19}{8}+5x\\3x+5y=\frac{-51}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{8})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{317}{10}+5x\\x-6y=\frac{-89}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{2}{5})\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-1868}{221}\\4x+y=\frac{893}{221}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{-15}{17})\}\)
7. \(\left\{\begin{matrix}5x+y=-9\\6x-3y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}3x+3y=\frac{11}{20}\\3x=-y+\frac{-39}{20}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{5}{4})\}\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-269}{7}\\2x+4y=\frac{286}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},9)\}\)
10. \(\left\{\begin{matrix}4y=\frac{2}{3}-5x\\-x-y=\frac{-5}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{13}{18})\}\)
11. \(\left\{\begin{matrix}x+4y=\frac{-47}{171}\\6x-3y=\frac{311}{57}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-5}{19})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{418}{51}\\-x-4y=\frac{-839}{153}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{20}{17})\}\)