Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{457}{45}+4x\\-6x-y=\frac{181}{90}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-y=5\\4x-6y=-26\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-439}{60}-4x\\4x+3y=\frac{-183}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-155}{91}\\2x=2y+\frac{-82}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+y=-7\\6x=-6y+\frac{-318}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-160}{11}-2x\\-3x+4y=\frac{200}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-23}{7}+2x\\-2x-y=\frac{-113}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=\frac{102}{5}\\-x=y+\frac{-34}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{-23}{19}\\x-6y=\frac{-115}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-6y=\frac{-451}{57}\\-x+y=\frac{553}{342}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-68}{9}-x\\5x+4y=\frac{-2}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{41}{36}\\-6x=-5y+\frac{281}{48}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{457}{45}+4x\\-6x-y=\frac{181}{90}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{17}{9})\}\)
2. \(\left\{\begin{matrix}-4x-y=5\\4x-6y=-26\end{matrix}\right.\qquad V=\{(-2,3)\}\)
3. \(\left\{\begin{matrix}y=\frac{-439}{60}-4x\\4x+3y=\frac{-183}{20}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-11}{12})\}\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-155}{91}\\2x=2y+\frac{-82}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{4}{13})\}\)
5. \(\left\{\begin{matrix}-5x+y=-7\\6x=-6y+\frac{-318}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-10)\}\)
6. \(\left\{\begin{matrix}-y=\frac{-160}{11}-2x\\-3x+4y=\frac{200}{11}\end{matrix}\right.\qquad V=\{(-8,\frac{-16}{11})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-23}{7}+2x\\-2x-y=\frac{-113}{28}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}3x+3y=\frac{102}{5}\\-x=y+\frac{-34}{5}\end{matrix}\right.\qquad V=\{(8,\frac{-6}{5})\}\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{-23}{19}\\x-6y=\frac{-115}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{16}{19})\}\)
10. \(\left\{\begin{matrix}4x-6y=\frac{-451}{57}\\-x+y=\frac{553}{342}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{13}{18})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-68}{9}-x\\5x+4y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-13}{9})\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{41}{36}\\-6x=-5y+\frac{281}{48}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{7}{16})\}\)