Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{52}{9}\\x-3y=\frac{56}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-42}{65}+3x\\x-2y=\frac{-508}{195}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-3y=\frac{-156}{35}\\2x=-y+\frac{-83}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-157}{45}+5x\\-3x+y=\frac{-73}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{34}{33}\\4x=4y+\frac{16}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{297}{323}-3x\\-x+3y=\frac{-235}{323}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{64}{3}\\-5x=3y+\frac{122}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{-58}{5}\\-5x=y+\frac{-179}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-16}{3}-4x\\x+3y=\frac{52}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-1134}{65}\\-x+5y=\frac{-29}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{290}{99}\\-x=4y+\frac{-20}{99}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-194}{39}\\x=-y+\frac{82}{39}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{52}{9}\\x-3y=\frac{56}{9}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-42}{65}+3x\\x-2y=\frac{-508}{195}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{10}{13})\}\)
3. \(\left\{\begin{matrix}3x-3y=\frac{-156}{35}\\2x=-y+\frac{-83}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{1}{5})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-157}{45}+5x\\-3x+y=\frac{-73}{30}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-1}{10})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{34}{33}\\4x=4y+\frac{16}{33}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}3y=\frac{297}{323}-3x\\-x+3y=\frac{-235}{323}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-2}{19})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{64}{3}\\-5x=3y+\frac{122}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},-3)\}\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{-58}{5}\\-5x=y+\frac{-179}{10}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-17}{20})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-16}{3}-4x\\x+3y=\frac{52}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{6}{5})\}\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-1134}{65}\\-x+5y=\frac{-29}{65}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-10}{13})\}\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{290}{99}\\-x=4y+\frac{-20}{99}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{5}{18})\}\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-194}{39}\\x=-y+\frac{82}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{10}{13})\}\)