Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{33}{14}\\x+2y=\frac{-3}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\x+4y=\frac{-67}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-4y=\frac{452}{153}\\x+y=\frac{-104}{153}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{-568}{171}\\-2x=-4y+\frac{632}{171}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{123}{91}\\x+4y=\frac{589}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+3y=\frac{185}{17}\\-2x=y+\frac{-67}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{33}{152}\\3x=-y+\frac{221}{304}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+3y=\frac{-199}{24}\\4x-y=\frac{-251}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+y=\frac{-59}{3}\\-5x=-6y+\frac{-67}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-56}{5}\\2x=6y+\frac{112}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{23}{5}\\x+y=\frac{-23}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{475}{8}\\3x=-5y+\frac{-585}{8}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{33}{14}\\x+2y=\frac{-3}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{7}{2}\\x+4y=\frac{-67}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-9}{2})\}\)
3. \(\left\{\begin{matrix}-5x-4y=\frac{452}{153}\\x+y=\frac{-104}{153}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-4}{9})\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{-568}{171}\\-2x=-4y+\frac{632}{171}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{7}{19})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{123}{91}\\x+4y=\frac{589}{91}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{15}{13})\}\)
6. \(\left\{\begin{matrix}4x+3y=\frac{185}{17}\\-2x=y+\frac{-67}{17}\end{matrix}\right.\qquad V=\{(\frac{8}{17},3)\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{33}{152}\\3x=-y+\frac{221}{304}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{-4}{19})\}\)
8. \(\left\{\begin{matrix}5x+3y=\frac{-199}{24}\\4x-y=\frac{-251}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{9}{8})\}\)
9. \(\left\{\begin{matrix}-3x+y=\frac{-59}{3}\\-5x=-6y+\frac{-67}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{-1}{6})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-56}{5}\\2x=6y+\frac{112}{5}\end{matrix}\right.\qquad V=\{(16,\frac{8}{5})\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{23}{5}\\x+y=\frac{-23}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{475}{8}\\3x=-5y+\frac{-585}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},-15)\}\)