Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{304}{45}+x\\2x-5y=\frac{-358}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-456}{77}+6x\\x-4y=\frac{-243}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=64\\-x=-y+\frac{-49}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+6y=\frac{-50}{11}\\4x-y=\frac{235}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{316}{57}-4x\\-x+4y=\frac{92}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{13}{6}-x\\3x-3y=\frac{-9}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{7}{12}+4x\\3x-y=\frac{45}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{49}{11}\\5x=-y+\frac{51}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{-199}{247}\\2x-y=\frac{196}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=18+6x\\-x+3y=\frac{33}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-3y=\frac{-1}{190}\\-2x=-4y+\frac{349}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{15}{8}+2x\\-2x+6y=\frac{39}{4}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{304}{45}+x\\2x-5y=\frac{-358}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{10}{9})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-456}{77}+6x\\x-4y=\frac{-243}{77}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{6}{7})\}\)
3. \(\left\{\begin{matrix}4x-3y=64\\-x=-y+\frac{-49}{3}\end{matrix}\right.\qquad V=\{(15,\frac{-4}{3})\}\)
4. \(\left\{\begin{matrix}4x+6y=\frac{-50}{11}\\4x-y=\frac{235}{33}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}2y=\frac{316}{57}-4x\\-x+4y=\frac{92}{57}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}y=\frac{13}{6}-x\\3x-3y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{11}{6})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{7}{12}+4x\\3x-y=\frac{45}{16}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-13}{16})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{49}{11}\\5x=-y+\frac{51}{11}\end{matrix}\right.\qquad V=\{(\frac{8}{11},1)\}\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{-199}{247}\\2x-y=\frac{196}{247}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{2}{13})\}\)
10. \(\left\{\begin{matrix}4y=18+6x\\-x+3y=\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{9}{4})\}\)
11. \(\left\{\begin{matrix}-x-3y=\frac{-1}{190}\\-2x=-4y+\frac{349}{95}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{7}{19})\}\)
12. \(\left\{\begin{matrix}-y=\frac{15}{8}+2x\\-2x+6y=\frac{39}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{9}{8})\}\)