Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+4y=\frac{-39}{14}\\x=-y+\frac{3}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-3y=\frac{-27}{35}\\-4x=y+\frac{81}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-336}{17}-3x\\-x-6y=\frac{208}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-y=\frac{-49}{22}\\-2x+4y=\frac{-1}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-138}{77}\\-x+2y=\frac{-79}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-383}{4}\\3x+2y=\frac{111}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+y=\frac{-69}{44}\\-3x=3y+\frac{-9}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{32}{11}\\x-4y=\frac{68}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{-165}{112}\\2x=6y+\frac{-367}{56}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-4y=\frac{1556}{247}\\-x=-2y+\frac{-310}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-123}{13}+5x\\x-5y=\frac{989}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{138}{85}\\-2x+y=\frac{44}{85}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+4y=\frac{-39}{14}\\x=-y+\frac{3}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}6x-3y=\frac{-27}{35}\\-4x=y+\frac{81}{35}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-3}{5})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-336}{17}-3x\\-x-6y=\frac{208}{17}\end{matrix}\right.\qquad V=\{(-8,\frac{-12}{17})\}\)
4. \(\left\{\begin{matrix}5x-y=\frac{-49}{22}\\-2x+4y=\frac{-1}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-3}{11})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{-138}{77}\\-x+2y=\frac{-79}{77}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-8}{11})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-383}{4}\\3x+2y=\frac{111}{2}\end{matrix}\right.\qquad V=\{(19,\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}-x+y=\frac{-69}{44}\\-3x=3y+\frac{-9}{44}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}-4x-3y=\frac{32}{11}\\x-4y=\frac{68}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{-16}{11})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{-165}{112}\\2x=6y+\frac{-367}{56}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{19}{16})\}\)
10. \(\left\{\begin{matrix}6x-4y=\frac{1556}{247}\\-x=-2y+\frac{-310}{247}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{-2}{13})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-123}{13}+5x\\x-5y=\frac{989}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-16}{3})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{138}{85}\\-2x+y=\frac{44}{85}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-8}{5})\}\)