Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-4y=\frac{-23}{2}\\-x+5y=\frac{125}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{-117}{85}\\6x=6y+\frac{279}{170}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-94}{55}\\6x-y=\frac{-447}{110}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=-19+2x\\x+y=5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{39}{7}+4x\\x+4y=\frac{123}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=52+3x\\-x-3y=\frac{71}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{241}{35}\\6x=-y+\frac{47}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=76+4x\\5x-y=-83\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-103}{6}\\x+4y=-1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-y=\frac{-461}{136}\\-2x=-5y+\frac{1185}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-20}{3}+x\\-2x-6y=\frac{16}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+5y=63\\-x-3y=-14\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-4y=\frac{-23}{2}\\-x+5y=\frac{125}{24}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{3}{8})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{-117}{85}\\6x=6y+\frac{279}{170}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{-14}{17})\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-94}{55}\\6x-y=\frac{-447}{110}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-3}{10})\}\)
4. \(\left\{\begin{matrix}-4y=-19+2x\\x+y=5\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{2})\}\)
5. \(\left\{\begin{matrix}2y=\frac{39}{7}+4x\\x+4y=\frac{123}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{9}{7})\}\)
6. \(\left\{\begin{matrix}-4y=52+3x\\-x-3y=\frac{71}{4}\end{matrix}\right.\qquad V=\{(-17,\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{241}{35}\\6x=-y+\frac{47}{70}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{11}{10})\}\)
8. \(\left\{\begin{matrix}4y=76+4x\\5x-y=-83\end{matrix}\right.\qquad V=\{(-16,3)\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-103}{6}\\x+4y=-1\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-19}{12})\}\)
10. \(\left\{\begin{matrix}6x-y=\frac{-461}{136}\\-2x=-5y+\frac{1185}{136}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{13}{8})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-20}{3}+x\\-2x-6y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}4x+5y=63\\-x-3y=-14\end{matrix}\right.\qquad V=\{(17,-1)\}\)