Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-3y=\frac{-151}{21}\\x-y=\frac{8}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{-188}{45}\\3x+3y=\frac{-223}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-376}{55}-4x\\-2x+y=\frac{56}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-y=\frac{-101}{15}\\-6x=-4y+\frac{-226}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{32}{19}-3x\\-5x+3y=\frac{-104}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{43}{20}+2x\\x+y=\frac{211}{120}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-115}{4}-x\\-5x-5y=\frac{-125}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+2y=\frac{-152}{85}\\-x=-4y+\frac{741}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-52}{21}-4x\\-6x-4y=\frac{155}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-119}{10}+6x\\3x-y=\frac{241}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-5y=-3\\5x+6y=-4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-4y=\frac{17}{2}\\x-y=\frac{13}{4}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-3y=\frac{-151}{21}\\x-y=\frac{8}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{9}{7})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{-188}{45}\\3x+3y=\frac{-223}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-7}{9})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-376}{55}-4x\\-2x+y=\frac{56}{55}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}-6x-y=\frac{-101}{15}\\-6x=-4y+\frac{-226}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}-y=\frac{32}{19}-3x\\-5x+3y=\frac{-104}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},-2)\}\)
6. \(\left\{\begin{matrix}3y=\frac{43}{20}+2x\\x+y=\frac{211}{120}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{17}{15})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-115}{4}-x\\-5x-5y=\frac{-125}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},5)\}\)
8. \(\left\{\begin{matrix}5x+2y=\frac{-152}{85}\\-x=-4y+\frac{741}{85}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{19}{10})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-52}{21}-4x\\-6x-4y=\frac{155}{21}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-119}{10}+6x\\3x-y=\frac{241}{30}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-5}{6})\}\)
11. \(\left\{\begin{matrix}-x-5y=-3\\5x+6y=-4\end{matrix}\right.\qquad V=\{(-2,1)\}\)
12. \(\left\{\begin{matrix}2x-4y=\frac{17}{2}\\x-y=\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},-1)\}\)