Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{207}{52}\\-4x+3y=\frac{69}{52}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{47}{51}+3x\\3x-4y=\frac{-217}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-1272}{133}+x\\2x+2y=\frac{-496}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{2}{15}\\3x+y=\frac{122}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+4y=\frac{-1747}{304}\\-x+3y=\frac{-137}{304}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-8}{3}+2x\\-x-5y=\frac{-44}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{21}{55}\\3x=5y+\frac{-597}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-31}{3}\\4x=y+\frac{-47}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-38}{3}\\-x=3y+\frac{-7}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-9}{8}\\x-4y=\frac{-21}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{-109}{15}\\6x=y+\frac{47}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-52}{21}-6x\\6x-y=\frac{71}{42}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{207}{52}\\-4x+3y=\frac{69}{52}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}-y=\frac{47}{51}+3x\\3x-4y=\frac{-217}{51}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-1272}{133}+x\\2x+2y=\frac{-496}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-16}{7})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{2}{15}\\3x+y=\frac{122}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{17}{15})\}\)
5. \(\left\{\begin{matrix}5x+4y=\frac{-1747}{304}\\-x+3y=\frac{-137}{304}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-8}{19})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-8}{3}+2x\\-x-5y=\frac{-44}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{10}{3})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{21}{55}\\3x=5y+\frac{-597}{55}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{12}{11})\}\)
8. \(\left\{\begin{matrix}4x-2y=\frac{-31}{3}\\4x=y+\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{5}{2})\}\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-38}{3}\\-x=3y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-1}{6})\}\)
10. \(\left\{\begin{matrix}5x-5y=\frac{-9}{8}\\x-4y=\frac{-21}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{5}{8})\}\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{-109}{15}\\6x=y+\frac{47}{30}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{7}{3})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-52}{21}-6x\\6x-y=\frac{71}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-5}{6})\}\)