Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{33}{7}\\4x=-2y+\frac{-32}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+3y=\frac{73}{4}\\-x+4y=\frac{-37}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{52}{21}+4x\\-x+4y=\frac{-22}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-3y=\frac{-92}{9}\\5x=y+\frac{4}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{71}{30}\\-x-4y=\frac{-391}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{219}{70}+3x\\4x-y=\frac{127}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{10}{3}\\-6x=y+\frac{25}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+6y=\frac{-88}{9}\\-x=5y+\frac{106}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{-295}{99}\\3x=y+\frac{221}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=-14\\4x=-y+\frac{-13}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+5y=\frac{-79}{28}\\2x=5y+\frac{123}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+3y=\frac{109}{48}\\4x-5y=\frac{-47}{36}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{33}{7}\\4x=-2y+\frac{-32}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}2x+3y=\frac{73}{4}\\-x+4y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(10,\frac{-7}{12})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{52}{21}+4x\\-x+4y=\frac{-22}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}2x-3y=\frac{-92}{9}\\5x=y+\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},4)\}\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{71}{30}\\-x-4y=\frac{-391}{60}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{7}{5})\}\)
6. \(\left\{\begin{matrix}4y=\frac{219}{70}+3x\\4x-y=\frac{127}{35}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{9}{5})\}\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{10}{3}\\-6x=y+\frac{25}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-7}{6})\}\)
8. \(\left\{\begin{matrix}4x+6y=\frac{-88}{9}\\-x=5y+\frac{106}{9}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-8}{3})\}\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{-295}{99}\\3x=y+\frac{221}{99}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{2}{9})\}\)
10. \(\left\{\begin{matrix}6x+2y=-14\\4x=-y+\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-17}{2})\}\)
11. \(\left\{\begin{matrix}-x+5y=\frac{-79}{28}\\2x=5y+\frac{123}{28}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-1}{4})\}\)
12. \(\left\{\begin{matrix}-x+3y=\frac{109}{48}\\4x-5y=\frac{-47}{36}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{10}{9})\}\)