Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-3y=\frac{-15}{8}\\-x-y=\frac{-7}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{8}{3}\\3x=-2y+\frac{22}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{483}{40}-5x\\5x-y=\frac{411}{40}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-85}{48}+5x\\4x-6y=\frac{-29}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{161}{5}-6x\\-6x-y=\frac{-61}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-5y=\frac{-109}{14}\\-x-3y=\frac{23}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-135}{68}-2x\\6x+y=\frac{-353}{68}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{341}{35}+x\\2x+5y=\frac{68}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{17}{5}+4x\\-x+y=\frac{17}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-14}{3}-x\\3x+4y=5\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{7}{3}+6x\\-x-3y=\frac{-43}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{313}{76}\\5x=-y+\frac{-31}{76}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-3y=\frac{-15}{8}\\-x-y=\frac{-7}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{1}{8})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{8}{3}\\3x=-2y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{20}{3})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{483}{40}-5x\\5x-y=\frac{411}{40}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{-9}{10})\}\)
4. \(\left\{\begin{matrix}y=\frac{-85}{48}+5x\\4x-6y=\frac{-29}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{5}{3})\}\)
5. \(\left\{\begin{matrix}5y=\frac{161}{5}-6x\\-6x-y=\frac{-61}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},5)\}\)
6. \(\left\{\begin{matrix}4x-5y=\frac{-109}{14}\\-x-3y=\frac{23}{14}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{1}{14})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-135}{68}-2x\\6x+y=\frac{-353}{68}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{1}{17})\}\)
8. \(\left\{\begin{matrix}5y=\frac{341}{35}+x\\2x+5y=\frac{68}{35}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{10}{7})\}\)
9. \(\left\{\begin{matrix}4y=\frac{17}{5}+4x\\-x+y=\frac{17}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{3}{20})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-14}{3}-x\\3x+4y=5\end{matrix}\right.\qquad V=\{(\frac{1}{3},1)\}\)
11. \(\left\{\begin{matrix}2y=\frac{7}{3}+6x\\-x-3y=\frac{-43}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{5}{6})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{313}{76}\\5x=-y+\frac{-31}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{16}{19})\}\)