Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{163}{42}\\x+y=\frac{103}{84}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-19}{3}\\-3x=y+\frac{-17}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-159}{7}+6x\\x+2y=\frac{44}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+y=\frac{20}{9}\\3x=6y+\frac{-26}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{65}{22}+6x\\6x-3y=\frac{3}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-35}{12}\\-x=6y+\frac{127}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{37}{88}-x\\4x+6y=\frac{569}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+y=\frac{-311}{195}\\3x-4y=\frac{-1396}{195}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-1335}{76}-6x\\x+4y=\frac{-325}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{640}{11}-4x\\-6x+4y=\frac{-910}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{3}{5}-x\\-5x+6y=\frac{-114}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-60}{19}\\x=5y+\frac{-54}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{163}{42}\\x+y=\frac{103}{84}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{19}{12})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-19}{3}\\-3x=y+\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{9}{4})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-159}{7}+6x\\x+2y=\frac{44}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{5}{2})\}\)
4. \(\left\{\begin{matrix}-x+y=\frac{20}{9}\\3x=6y+\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}y=\frac{65}{22}+6x\\6x-3y=\frac{3}{22}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-17}{11})\}\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-35}{12}\\-x=6y+\frac{127}{16}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}-y=\frac{37}{88}-x\\4x+6y=\frac{569}{44}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{9}{8})\}\)
8. \(\left\{\begin{matrix}2x+y=\frac{-311}{195}\\3x-4y=\frac{-1396}{195}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{13}{15})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-1335}{76}-6x\\x+4y=\frac{-325}{38}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-15}{8})\}\)
10. \(\left\{\begin{matrix}-y=\frac{640}{11}-4x\\-6x+4y=\frac{-910}{11}\end{matrix}\right.\qquad V=\{(15,\frac{20}{11})\}\)
11. \(\left\{\begin{matrix}y=\frac{3}{5}-x\\-5x+6y=\frac{-114}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-9}{5})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-60}{19}\\x=5y+\frac{-54}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{14}{19})\}\)