Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-47}{13}+3x\\-x+4y=\frac{-7}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+5y=\frac{723}{119}\\2x+3y=\frac{543}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=28\\x-5y=\frac{193}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{302}{33}\\x-4y=\frac{-244}{165}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+3y=\frac{67}{45}\\-x-6y=\frac{181}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{-292}{9}\\-2x=-y+\frac{-131}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{48}{35}\\-5x+5y=\frac{-6}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-2y=\frac{377}{15}\\-6x-y=\frac{-381}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{129}{17}\\-5x=-6y+\frac{212}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-6y=\frac{210}{187}\\-x+3y=\frac{-3}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{4}{3}\\5x=-y+\frac{-23}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+6y=\frac{72}{7}\\x-6y=\frac{-95}{14}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-47}{13}+3x\\-x+4y=\frac{-7}{13}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}-x+5y=\frac{723}{119}\\2x+3y=\frac{543}{119}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{9}{7})\}\)
3. \(\left\{\begin{matrix}-6x-4y=28\\x-5y=\frac{193}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-13}{2})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{302}{33}\\x-4y=\frac{-244}{165}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{7}{11})\}\)
5. \(\left\{\begin{matrix}5x+3y=\frac{67}{45}\\-x-6y=\frac{181}{45}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{-292}{9}\\-2x=-y+\frac{-131}{18}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{48}{35}\\-5x+5y=\frac{-6}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}4x-2y=\frac{377}{15}\\-6x-y=\frac{-381}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{1}{10})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{129}{17}\\-5x=-6y+\frac{212}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{7}{17})\}\)
10. \(\left\{\begin{matrix}4x-6y=\frac{210}{187}\\-x+3y=\frac{-3}{187}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{3}{17})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{4}{3}\\5x=-y+\frac{-23}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{18})\}\)
12. \(\left\{\begin{matrix}6x+6y=\frac{72}{7}\\x-6y=\frac{-95}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{17}{14})\}\)