Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=-9\\6x-4y=\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{197}{45}\\-x=5y+\frac{-337}{90}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-6y=\frac{-317}{102}\\-4x+y=\frac{-179}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-668}{153}\\x=4y+\frac{-545}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-111}{34}\\-x=-2y+\frac{61}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-5}{7}+2x\\6x-5y=\frac{-1}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=10-2x\\-x+y=\frac{-17}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{29}{38}\\6x+4y=\frac{11}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{555}{76}\\3x+2y=\frac{-125}{76}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-16}{15}+2x\\-x-5y=\frac{2}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-124}{21}-4x\\-x-y=\frac{31}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-y=\frac{-14}{15}\\2x-5y=\frac{164}{15}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=-9\\6x-4y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-11}{6})\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{197}{45}\\-x=5y+\frac{-337}{90}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{7}{18})\}\)
3. \(\left\{\begin{matrix}-5x-6y=\frac{-317}{102}\\-4x+y=\frac{-179}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-3}{17})\}\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-668}{153}\\x=4y+\frac{-545}{153}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{11}{18})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-111}{34}\\-x=-2y+\frac{61}{34}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}y=\frac{-5}{7}+2x\\6x-5y=\frac{-1}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{8}{7})\}\)
7. \(\left\{\begin{matrix}-6y=10-2x\\-x+y=\frac{-17}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-14}{9})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{29}{38}\\6x+4y=\frac{11}{19}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{555}{76}\\3x+2y=\frac{-125}{76}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{20}{19})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-16}{15}+2x\\-x-5y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-124}{21}-4x\\-x-y=\frac{31}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-1}{7})\}\)
12. \(\left\{\begin{matrix}3x-y=\frac{-14}{15}\\2x-5y=\frac{164}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-8}{3})\}\)