Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=\frac{214}{119}\\2x=3y+\frac{-1062}{119}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{32}{3}\\5x+y=\frac{-128}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{-139}{21}\\x-y=\frac{23}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{3}{5}-2x\\6x-3y=\frac{31}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-73}{7}+5x\\x-5y=\frac{-159}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=\frac{37}{4}\\4x=-y+\frac{95}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-3y=\frac{9}{4}\\-6x=y+\frac{-17}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-230}{17}\\x-4y=\frac{-37}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-229}{17}+6x\\x+4y=\frac{54}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{470}{133}\\-5x+y=\frac{493}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-79}{195}+x\\4x-5y=\frac{-134}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{1016}{285}-5x\\5x-4y=\frac{-314}{285}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=\frac{214}{119}\\2x=3y+\frac{-1062}{119}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{20}{7})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{32}{3}\\5x+y=\frac{-128}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-8}{9})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{-139}{21}\\x-y=\frac{23}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{4}{7})\}\)
4. \(\left\{\begin{matrix}y=\frac{3}{5}-2x\\6x-3y=\frac{31}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-11}{15})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-73}{7}+5x\\x-5y=\frac{-159}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},4)\}\)
6. \(\left\{\begin{matrix}6x+6y=\frac{37}{4}\\4x=-y+\frac{95}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-7}{12})\}\)
7. \(\left\{\begin{matrix}3x-3y=\frac{9}{4}\\-6x=y+\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-230}{17}\\x-4y=\frac{-37}{17}\end{matrix}\right.\qquad V=\{(-5,\frac{-12}{17})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-229}{17}+6x\\x+4y=\frac{54}{17}\end{matrix}\right.\qquad V=\{(2,\frac{5}{17})\}\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{470}{133}\\-5x+y=\frac{493}{133}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{2}{7})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-79}{195}+x\\4x-5y=\frac{-134}{195}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-10}{13})\}\)
12. \(\left\{\begin{matrix}y=\frac{1016}{285}-5x\\5x-4y=\frac{-314}{285}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{14}{15})\}\)