Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+6y=\frac{-201}{5}\\-2x-y=\frac{61}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-27}{4}\\-x=2y+\frac{35}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-1}{15}-3x\\x+2y=\frac{-67}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+3y=\frac{165}{13}\\-x=-y+\frac{50}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+y=\frac{47}{11}\\4x=5y+\frac{-91}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-281}{57}-4x\\x+2y=\frac{-145}{114}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-2y=\frac{-61}{30}\\4x+2y=\frac{-41}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-29}{7}-2x\\-2x+6y=\frac{204}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-62}{7}\\3x=3y+\frac{153}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+3y=\frac{-781}{380}\\3x=3y+\frac{621}{380}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{679}{80}-x\\6x+3y=\frac{-147}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{21}{2}\\-5x-y=-7\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+6y=\frac{-201}{5}\\-2x-y=\frac{61}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-27}{4}\\-x=2y+\frac{35}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-19}{16})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-1}{15}-3x\\x+2y=\frac{-67}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-4}{3})\}\)
4. \(\left\{\begin{matrix}-2x+3y=\frac{165}{13}\\-x=-y+\frac{50}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},5)\}\)
5. \(\left\{\begin{matrix}-4x+y=\frac{47}{11}\\4x=5y+\frac{-91}{11}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},1)\}\)
6. \(\left\{\begin{matrix}5y=\frac{-281}{57}-4x\\x+2y=\frac{-145}{114}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-1}{19})\}\)
7. \(\left\{\begin{matrix}-x-2y=\frac{-61}{30}\\4x+2y=\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{19}{12})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-29}{7}-2x\\-2x+6y=\frac{204}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},5)\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-62}{7}\\3x=3y+\frac{153}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{-11}{14})\}\)
10. \(\left\{\begin{matrix}x+3y=\frac{-781}{380}\\3x=3y+\frac{621}{380}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{-13}{20})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{679}{80}-x\\6x+3y=\frac{-147}{40}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-13}{5})\}\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{21}{2}\\-5x-y=-7\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{2})\}\)