Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-22}{7}-4x\\4x-y=\frac{-15}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{191}{10}\\-x+6y=\frac{623}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{57}{13}-5x\\4x-4y=\frac{20}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{64}{17}-x\\-2x-5y=\frac{93}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-35}{2}\\-6x=-y+\frac{11}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-8}{51}\\6x+y=\frac{-109}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-680}{99}+6x\\4x+y=\frac{215}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=2\\-5x+y=\frac{-3}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=14\\x=2y+\frac{15}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{18}{11}\\x=4y+\frac{-124}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-13}{3}+5x\\-2x-y=\frac{-4}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-37}{10}\\-2x=-y+\frac{61}{20}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-22}{7}-4x\\4x-y=\frac{-15}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},1)\}\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{191}{10}\\-x+6y=\frac{623}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{18}{5})\}\)
3. \(\left\{\begin{matrix}-y=\frac{57}{13}-5x\\4x-4y=\frac{20}{13}\end{matrix}\right.\qquad V=\{(1,\frac{8}{13})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{64}{17}-x\\-2x-5y=\frac{93}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},-1)\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-35}{2}\\-6x=-y+\frac{11}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-17}{4})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{-8}{51}\\6x+y=\frac{-109}{51}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{1}{3})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-680}{99}+6x\\4x+y=\frac{215}{99}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{13}{9})\}\)
8. \(\left\{\begin{matrix}-4x+4y=2\\-5x+y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},1)\}\)
9. \(\left\{\begin{matrix}4x-4y=14\\x=2y+\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-4)\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{18}{11}\\x=4y+\frac{-124}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{14}{11})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-13}{3}+5x\\-2x-y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},2)\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-37}{10}\\-2x=-y+\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{1}{4})\}\)