Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=\frac{521}{190}\\4x=y+\frac{381}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-19}{14}\\-2x=y+\frac{3}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{-277}{85}\\2x+y=\frac{509}{255}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-74}{9}\\3x-y=\frac{23}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+5y=\frac{61}{2}\\-6x+y=\frac{-31}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{218}{91}\\x=6y+\frac{-10}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+4y=\frac{619}{126}\\-x=4y+\frac{-79}{126}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{1045}{221}+5x\\-3x-y=\frac{471}{221}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{119}{22}+5x\\-x+y=\frac{-29}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{1528}{221}\\x=-4y+\frac{64}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-3y=\frac{35}{8}\\-2x=y+\frac{-37}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{29}{5}\\-4x-2y=-10\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=\frac{521}{190}\\4x=y+\frac{381}{95}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-4}{19})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-19}{14}\\-2x=y+\frac{3}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{14})\}\)
3. \(\left\{\begin{matrix}-3x-2y=\frac{-277}{85}\\2x+y=\frac{509}{255}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{9}{17})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-74}{9}\\3x-y=\frac{23}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}6x+5y=\frac{61}{2}\\-6x+y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(3,\frac{5}{2})\}\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{218}{91}\\x=6y+\frac{-10}{91}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-1}{13})\}\)
7. \(\left\{\begin{matrix}5x+4y=\frac{619}{126}\\-x=4y+\frac{-79}{126}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{1045}{221}+5x\\-3x-y=\frac{471}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{3}{17})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{119}{22}+5x\\-x+y=\frac{-29}{22}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{1528}{221}\\x=-4y+\frac{64}{221}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{-4}{17})\}\)
11. \(\left\{\begin{matrix}5x-3y=\frac{35}{8}\\-2x=y+\frac{-37}{40}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-3}{8})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{29}{5}\\-4x-2y=-10\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{7}{5})\}\)