Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{-415}{28}\\-3x+2y=\frac{-109}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+6y=29\\-2x+5y=\frac{62}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{-1535}{153}\\-5x-4y=\frac{1606}{153}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{2}\\-x=-6y+\frac{5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{74}{5}\\5x+y=\frac{183}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{11}{7}\\2x=-4y+\frac{-33}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-y=\frac{13}{4}\\-2x-4y=\frac{155}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-564}{221}-3x\\3x+y=\frac{-54}{221}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-215}{9}-4x\\-x+6y=\frac{445}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{-53}{36}\\-6x=-2y+\frac{29}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{14}{51}\\5x-y=\frac{148}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-244}{35}\\4x=y+\frac{226}{35}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{-415}{28}\\-3x+2y=\frac{-109}{14}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}-x+6y=29\\-2x+5y=\frac{62}{3}\end{matrix}\right.\qquad V=\{(3,\frac{16}{3})\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{-1535}{153}\\-5x-4y=\frac{1606}{153}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-17}{9})\}\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{2}\\-x=-6y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{74}{5}\\5x+y=\frac{183}{10}\end{matrix}\right.\qquad V=\{(4,\frac{-17}{10})\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{11}{7}\\2x=-4y+\frac{-33}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-10}{7})\}\)
7. \(\left\{\begin{matrix}3x-y=\frac{13}{4}\\-2x-4y=\frac{155}{6}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},-6)\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-564}{221}-3x\\3x+y=\frac{-54}{221}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{6}{13})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-215}{9}-4x\\-x+6y=\frac{445}{18}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{15}{4})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{-53}{36}\\-6x=-2y+\frac{29}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{3}{4})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{14}{51}\\5x-y=\frac{148}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-244}{35}\\4x=y+\frac{226}{35}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{2}{5})\}\)