Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{69}{11}+3x\\x-y=\frac{-5}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{-26}{3}\\-3x-3y=14\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-3y=\frac{-305}{272}\\x=-6y+\frac{-311}{136}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{103}{13}\\5x+y=\frac{229}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-3y=\frac{-95}{18}\\-2x=-y+\frac{43}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-31}{10}\\-2x+y=\frac{43}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-17}{9}+2x\\5x-2y=\frac{40}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{5}{13}-6x\\-3x-3y=\frac{30}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+4y=46\\-6x=-y+5\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{745}{19}\\x=y+\frac{-149}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-305}{51}\\5x=3y+\frac{301}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-221}{55}-4x\\x+y=\frac{-64}{55}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{69}{11}+3x\\x-y=\frac{-5}{11}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{18}{11})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{-26}{3}\\-3x-3y=14\end{matrix}\right.\qquad V=\{(-4,\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}5x-3y=\frac{-305}{272}\\x=-6y+\frac{-311}{136}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{-5}{16})\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{103}{13}\\5x+y=\frac{229}{39}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}4x-3y=\frac{-95}{18}\\-2x=-y+\frac{43}{18}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-31}{10}\\-2x+y=\frac{43}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}y=\frac{-17}{9}+2x\\5x-2y=\frac{40}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-5}{9})\}\)
8. \(\left\{\begin{matrix}y=\frac{5}{13}-6x\\-3x-3y=\frac{30}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},-1)\}\)
9. \(\left\{\begin{matrix}2x+4y=46\\-6x=-y+5\end{matrix}\right.\qquad V=\{(1,11)\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{745}{19}\\x=y+\frac{-149}{19}\end{matrix}\right.\qquad V=\{(-7,\frac{16}{19})\}\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-305}{51}\\5x=3y+\frac{301}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-8}{9})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-221}{55}-4x\\x+y=\frac{-64}{55}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{7}{11})\}\)