Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{-139}{38}\\x=y+\frac{139}{114}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=-50+4x\\-x-6y=\frac{213}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{37}{2}-5x\\2x+y=\frac{15}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{197}{4}-5x\\3x-y=\frac{121}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{-291}{11}\\x-y=\frac{57}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-y=\frac{-393}{65}\\2x=-6y+\frac{-112}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{71}{35}-x\\-3x-3y=\frac{-213}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{7}{40}+3x\\x-6y=\frac{-3}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-577}{26}\\-x=3y+\frac{587}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-9}{2}-2x\\-6x+y=\frac{-99}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{2}{17}\\3x=-y+\frac{171}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-185}{72}+5x\\-x+6y=\frac{53}{24}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{-139}{38}\\x=y+\frac{139}{114}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{18}{19})\}\)
2. \(\left\{\begin{matrix}4y=-50+4x\\-x-6y=\frac{213}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},-17)\}\)
3. \(\left\{\begin{matrix}2y=\frac{37}{2}-5x\\2x+y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}3y=\frac{197}{4}-5x\\3x-y=\frac{121}{4}\end{matrix}\right.\qquad V=\{(10,\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{-291}{11}\\x-y=\frac{57}{11}\end{matrix}\right.\qquad V=\{(6,\frac{9}{11})\}\)
6. \(\left\{\begin{matrix}4x-y=\frac{-393}{65}\\2x=-6y+\frac{-112}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{1}{5})\}\)
7. \(\left\{\begin{matrix}y=\frac{71}{35}-x\\-3x-3y=\frac{-213}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{8}{5})\}\)
8. \(\left\{\begin{matrix}5y=\frac{7}{40}+3x\\x-6y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{1}{8})\}\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-577}{26}\\-x=3y+\frac{587}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{-15}{2})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-9}{2}-2x\\-6x+y=\frac{-99}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{9}{4})\}\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{2}{17}\\3x=-y+\frac{171}{34}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{3}{2})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-185}{72}+5x\\-x+6y=\frac{53}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{7}{18})\}\)