Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{205}{36}-5x\\5x-y=\frac{-175}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{1}{2}\\5x-5y=\frac{5}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+y=\frac{5}{2}\\4x=-2y+\frac{-11}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-75}{4}\\4x-y=5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{1561}{20}\\-x+3y=\frac{1213}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+4y=\frac{95}{11}\\-4x-3y=\frac{-233}{44}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{71}{3}\\2x=y+\frac{14}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+6y=\frac{-93}{28}\\x=2y+\frac{39}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-21}{2}+2x\\x-4y=\frac{33}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-349}{306}\\-x=6y+\frac{-977}{306}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-1357}{182}\\4x-4y=\frac{474}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+5y=\frac{-50}{7}\\x-y=\frac{8}{7}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{205}{36}-5x\\5x-y=\frac{-175}{36}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{19}{9})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{1}{2}\\5x-5y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}-4x+y=\frac{5}{2}\\4x=-2y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},-1)\}\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-75}{4}\\4x-y=5\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-6)\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{1561}{20}\\-x+3y=\frac{1213}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},20)\}\)
6. \(\left\{\begin{matrix}x+4y=\frac{95}{11}\\-4x-3y=\frac{-233}{44}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{9}{4})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{71}{3}\\2x=y+\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{8}{3})\}\)
8. \(\left\{\begin{matrix}3x+6y=\frac{-93}{28}\\x=2y+\frac{39}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-5}{8})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-21}{2}+2x\\x-4y=\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-2)\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-349}{306}\\-x=6y+\frac{-977}{306}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{7}{17})\}\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-1357}{182}\\4x-4y=\frac{474}{91}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-16}{13})\}\)
12. \(\left\{\begin{matrix}5x+5y=\frac{-50}{7}\\x-y=\frac{8}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-9}{7})\}\)