Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=38\\4x+y=-34\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-324}{7}-6x\\4x+y=\frac{-218}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{702}{7}+6x\\-x-3y=\frac{137}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-128}{187}\\x=y+\frac{122}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{179}{28}\\-x=-y+\frac{31}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{-177}{28}\\-6x=-y+\frac{-1737}{140}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{-146}{7}\\-3x+y=\frac{43}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{343}{44}\\-3x=5y+\frac{405}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-13}{2}\\-x=3y+\frac{-11}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{249}{13}\\-x+5y=\frac{-395}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-6y=\frac{-84}{5}\\5x=-y+4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-25}{2}\\x+y=\frac{-1}{2}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=38\\4x+y=-34\end{matrix}\right.\qquad V=\{(-8,-2)\}\)
2. \(\left\{\begin{matrix}2y=\frac{-324}{7}-6x\\4x+y=\frac{-218}{7}\end{matrix}\right.\qquad V=\{(-8,\frac{6}{7})\}\)
3. \(\left\{\begin{matrix}2y=\frac{702}{7}+6x\\-x-3y=\frac{137}{7}\end{matrix}\right.\qquad V=\{(-17,\frac{-6}{7})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-128}{187}\\x=y+\frac{122}{187}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-8}{17})\}\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{179}{28}\\-x=-y+\frac{31}{28}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-4x+5y=\frac{-177}{28}\\-6x=-y+\frac{-1737}{140}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{9}{20})\}\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{-146}{7}\\-3x+y=\frac{43}{21}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{10}{3})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{343}{44}\\-3x=5y+\frac{405}{44}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-12}{11})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-13}{2}\\-x=3y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{5}{6})\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{249}{13}\\-x+5y=\frac{-395}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},-6)\}\)
11. \(\left\{\begin{matrix}6x-6y=\frac{-84}{5}\\5x=-y+4\end{matrix}\right.\qquad V=\{(\frac{1}{5},3)\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-25}{2}\\x+y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{2})\}\)