Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{-11}{3}\\5x+y=\frac{-23}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-249}{20}\\x=3y+\frac{27}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{132}{5}\\-x=5y+\frac{-92}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+y=\frac{-47}{10}\\6x-6y=\frac{-69}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-415}{28}+6x\\x-2y=\frac{-15}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-4y=-15\\x=y+\frac{-7}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-474}{35}-5x\\-x+4y=\frac{-174}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{45}{2}+3x\\x-2y=\frac{-27}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-326}{63}\\-5x+y=\frac{89}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-255}{14}+6x\\x+2y=\frac{127}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-38}{11}+6x\\x-4y=\frac{169}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-y=\frac{384}{35}\\4x=4y+\frac{576}{35}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{-11}{3}\\5x+y=\frac{-23}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},-2)\}\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-249}{20}\\x=3y+\frac{27}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-11}{5})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{132}{5}\\-x=5y+\frac{-92}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{16}{5})\}\)
4. \(\left\{\begin{matrix}3x+y=\frac{-47}{10}\\6x-6y=\frac{-69}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-415}{28}+6x\\x-2y=\frac{-15}{14}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}6x-4y=-15\\x=y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{-9}{4})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-474}{35}-5x\\-x+4y=\frac{-174}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-8}{5})\}\)
8. \(\left\{\begin{matrix}3y=\frac{45}{2}+3x\\x-2y=\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},6)\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-326}{63}\\-5x+y=\frac{89}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-255}{14}+6x\\x+2y=\frac{127}{28}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{9}{8})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-38}{11}+6x\\x-4y=\frac{169}{33}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-15}{11})\}\)
12. \(\left\{\begin{matrix}5x-y=\frac{384}{35}\\4x=4y+\frac{576}{35}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-12}{5})\}\)