Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{109}{13}-6x\\3x-y=\frac{-55}{52}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-2y=\frac{1}{2}\\-6x=-4y+5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-4y=\frac{-197}{76}\\-6x=3y+\frac{1137}{304}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-65}{3}\\6x=-y+\frac{-17}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-9}{4}+x\\6x-3y=\frac{9}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+y=\frac{13}{7}\\4x=-2y+\frac{-94}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-365}{91}\\-4x+2y=\frac{134}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{358}{65}\\4x+y=\frac{-252}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{63}{80}\\x=2y+\frac{-61}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-6y=-2\\-x-y=\frac{-4}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+6y=\frac{22}{117}\\x-3y=\frac{197}{117}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{261}{143}\\x+4y=\frac{-109}{143}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{109}{13}-6x\\3x-y=\frac{-55}{52}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}-x-2y=\frac{1}{2}\\-6x=-4y+5\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{1}{8})\}\)
3. \(\left\{\begin{matrix}x-4y=\frac{-197}{76}\\-6x=3y+\frac{1137}{304}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{7}{16})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-65}{3}\\6x=-y+\frac{-17}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{9},-7)\}\)
5. \(\left\{\begin{matrix}2y=\frac{-9}{4}+x\\6x-3y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
6. \(\left\{\begin{matrix}-x+y=\frac{13}{7}\\4x=-2y+\frac{-94}{7}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},-1)\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-365}{91}\\-4x+2y=\frac{134}{91}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{17}{7})\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{358}{65}\\4x+y=\frac{-252}{65}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{63}{80}\\x=2y+\frac{-61}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{17}{16})\}\)
10. \(\left\{\begin{matrix}-4x-6y=-2\\-x-y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(3,\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}-4x+6y=\frac{22}{117}\\x-3y=\frac{197}{117}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-15}{13})\}\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{261}{143}\\x+4y=\frac{-109}{143}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-1}{13})\}\)