Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-5y=\frac{25}{2}\\3x=-y+\frac{37}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-29}{35}\\-x+y=\frac{-23}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{611}{68}+6x\\x+2y=\frac{-419}{136}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{415}{56}-5x\\x-4y=\frac{395}{56}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+5y=\frac{-735}{209}\\-3x-y=\frac{318}{209}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-40}{17}-x\\4x+6y=\frac{-356}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{671}{21}\\3x=-y+\frac{-257}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-y=\frac{-71}{8}\\-6x=6y+\frac{-249}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{997}{272}+3x\\2x-y=\frac{41}{136}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{20}{7}\\4x-y=\frac{23}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-331}{24}-6x\\-x+4y=\frac{-469}{144}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-34}{3}-3x\\-x+y=4\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-5y=\frac{25}{2}\\3x=-y+\frac{37}{2}\end{matrix}\right.\qquad V=\{(5,\frac{7}{2})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-29}{35}\\-x+y=\frac{-23}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{8}{7})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{611}{68}+6x\\x+2y=\frac{-419}{136}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-19}{16})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{415}{56}-5x\\x-4y=\frac{395}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-13}{7})\}\)
5. \(\left\{\begin{matrix}6x+5y=\frac{-735}{209}\\-3x-y=\frac{318}{209}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-3}{19})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-40}{17}-x\\4x+6y=\frac{-356}{17}\end{matrix}\right.\qquad V=\{(-4,\frac{-14}{17})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{671}{21}\\3x=-y+\frac{-257}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-19}{3})\}\)
8. \(\left\{\begin{matrix}3x-y=\frac{-71}{8}\\-6x=6y+\frac{-249}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{8},10)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{997}{272}+3x\\2x-y=\frac{41}{136}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-20}{17})\}\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{20}{7}\\4x-y=\frac{23}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},-1)\}\)
11. \(\left\{\begin{matrix}6y=\frac{-331}{24}-6x\\-x+4y=\frac{-469}{144}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-10}{9})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-34}{3}-3x\\-x+y=4\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{2}{3})\}\)