Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+y=\frac{-97}{30}\\2x=6y+\frac{83}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-32}{19}\\3x=y+\frac{256}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-331}{119}-2x\\-4x-6y=\frac{1278}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-654}{143}\\2x=y+\frac{317}{143}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-307}{42}+5x\\4x-y=\frac{64}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{107}{57}-3x\\x+5y=\frac{61}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-4y=\frac{1874}{153}\\5x=-y+\frac{1019}{153}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{20}{21}-5x\\4x-y=\frac{269}{105}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+6y=\frac{-1599}{119}\\x=-2y+\frac{-351}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-1}{2}\\x-2y=\frac{-11}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-1}{21}\\4x-5y=\frac{85}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-73}{5}-2x\\-x+2y=\frac{73}{10}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+y=\frac{-97}{30}\\2x=6y+\frac{83}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-17}{6})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-32}{19}\\3x=y+\frac{256}{57}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-331}{119}-2x\\-4x-6y=\frac{1278}{119}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{-11}{17})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-654}{143}\\2x=y+\frac{317}{143}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{9}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-307}{42}+5x\\4x-y=\frac{64}{21}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{107}{57}-3x\\x+5y=\frac{61}{57}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{1}{15})\}\)
7. \(\left\{\begin{matrix}5x-4y=\frac{1874}{153}\\5x=-y+\frac{1019}{153}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-19}{17})\}\)
8. \(\left\{\begin{matrix}4y=\frac{20}{21}-5x\\4x-y=\frac{269}{105}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}-3x+6y=\frac{-1599}{119}\\x=-2y+\frac{-351}{119}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-13}{7})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-1}{2}\\x-2y=\frac{-11}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{3}{10})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-1}{21}\\4x-5y=\frac{85}{42}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{1}{6})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-73}{5}-2x\\-x+2y=\frac{73}{10}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-1}{10})\}\)