Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-6y=\frac{-1239}{80}\\5x=-y+\frac{519}{80}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-179}{21}\\x=-2y+\frac{83}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-37}{10}\\3x=-y+\frac{-207}{40}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-19}{6}\\-x=2y+\frac{1}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+2y=\frac{-127}{21}\\-4x+y=\frac{-46}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-66}{5}+6x\\x+6y=\frac{97}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-2y=\frac{-905}{152}\\-3x=y+\frac{-905}{304}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{-857}{153}\\x=-y+\frac{253}{153}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{5}{13}\\-5x-5y=\frac{-105}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-165}{247}\\-5x=5y+\frac{-1835}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-512}{63}\\-6x=-y+\frac{22}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-609}{170}-4x\\5x-y=\frac{773}{170}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-6y=\frac{-1239}{80}\\5x=-y+\frac{519}{80}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{9}{5})\}\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-179}{21}\\x=-2y+\frac{83}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-37}{10}\\3x=-y+\frac{-207}{40}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-19}{6}\\-x=2y+\frac{1}{15}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}2x+2y=\frac{-127}{21}\\-4x+y=\frac{-46}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-20}{7})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-66}{5}+6x\\x+6y=\frac{97}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-6x-2y=\frac{-905}{152}\\-3x=y+\frac{-905}{304}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-4}{19})\}\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{-857}{153}\\x=-y+\frac{253}{153}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{13}{17})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{5}{13}\\-5x-5y=\frac{-105}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},1)\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-165}{247}\\-5x=5y+\frac{-1835}{247}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{18}{19})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-512}{63}\\-6x=-y+\frac{22}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{12}{7})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-609}{170}-4x\\5x-y=\frac{773}{170}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-19}{10})\}\)