Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+3y=-23\\x=y+\frac{31}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-3}{5}+4x\\-5x+3y=1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-43}{15}-5x\\-4x-y=\frac{-28}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{333}{44}\\x-5y=\frac{-779}{88}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-47}{35}+x\\5x-4y=\frac{193}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-50}{57}-2x\\x+4y=\frac{335}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-43}{39}\\x=-2y+\frac{-67}{39}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=15-3x\\-x-5y=-29\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-11}{4}+x\\-2x+2y=\frac{21}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-4}{3}\\x=3y+\frac{-44}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=\frac{262}{17}\\4x-6y=\frac{382}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{119}{57}-3x\\5x+3y=\frac{83}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+3y=-23\\x=y+\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-15}{2})\}\)
2. \(\left\{\begin{matrix}y=\frac{-3}{5}+4x\\-5x+3y=1\end{matrix}\right.\qquad V=\{(\frac{2}{5},1)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-43}{15}-5x\\-4x-y=\frac{-28}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{8}{5})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{333}{44}\\x-5y=\frac{-779}{88}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{13}{8})\}\)
5. \(\left\{\begin{matrix}y=\frac{-47}{35}+x\\5x-4y=\frac{193}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-6}{5})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-50}{57}-2x\\x+4y=\frac{335}{57}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{20}{19})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-43}{39}\\x=-2y+\frac{-67}{39}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-7}{6})\}\)
8. \(\left\{\begin{matrix}3y=15-3x\\-x-5y=-29\end{matrix}\right.\qquad V=\{(-1,6)\}\)
9. \(\left\{\begin{matrix}-y=\frac{-11}{4}+x\\-2x+2y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},4)\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-4}{3}\\x=3y+\frac{-44}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}3x-y=\frac{262}{17}\\4x-6y=\frac{382}{17}\end{matrix}\right.\qquad V=\{(5,\frac{-7}{17})\}\)
12. \(\left\{\begin{matrix}y=\frac{119}{57}-3x\\5x+3y=\frac{83}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{2}{3})\}\)