Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{-7}{6}\\5x-y=\frac{13}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{129}{2}-6x\\4x-y=\frac{75}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{17}{30}-2x\\-2x+2y=\frac{109}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-277}{52}\\-2x=y+\frac{-41}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-32}{9}-4x\\6x-y=\frac{-38}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{349}{20}+3x\\-3x+y=\frac{269}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{17}{2}-2x\\x+5y=\frac{19}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+6y=\frac{139}{133}\\-x-2y=\frac{-30}{133}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-298}{91}\\-x-3y=\frac{36}{91}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{71}{12}\\-5x+4y=\frac{163}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{137}{28}\\-4x+y=\frac{-67}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-191}{3}\\-2x=-y+\frac{-86}{3}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{-7}{6}\\5x-y=\frac{13}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{2}{5})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{129}{2}-6x\\4x-y=\frac{75}{2}\end{matrix}\right.\qquad V=\{(8,\frac{-11}{2})\}\)
3. \(\left\{\begin{matrix}y=\frac{17}{30}-2x\\-2x+2y=\frac{109}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{7}{5})\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-277}{52}\\-2x=y+\frac{-41}{52}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-32}{9}-4x\\6x-y=\frac{-38}{9}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-5}{18})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{349}{20}+3x\\-3x+y=\frac{269}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{17}{2}-2x\\x+5y=\frac{19}{2}\end{matrix}\right.\qquad V=\{(6,\frac{7}{10})\}\)
8. \(\left\{\begin{matrix}4x+6y=\frac{139}{133}\\-x-2y=\frac{-30}{133}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-1}{14})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-298}{91}\\-x-3y=\frac{36}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-2}{7})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{71}{12}\\-5x+4y=\frac{163}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{137}{28}\\-4x+y=\frac{-67}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-191}{3}\\-2x=-y+\frac{-86}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{3},-16)\}\)