Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{-447}{11}\\3x-y=\frac{237}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{-36}{7}\\-2x=-y+\frac{9}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{103}{34}-6x\\4x-5y=\frac{165}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{117}{238}-6x\\x+5y=\frac{-57}{238}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-324}{5}-6x\\x+3y=\frac{126}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+4y=\frac{59}{35}\\-3x-y=\frac{-103}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-y=\frac{67}{15}\\-3x+5y=\frac{61}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-49}{5}\\x-6y=\frac{-133}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-4y=\frac{41}{5}\\x=5y+\frac{199}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{60}{7}\\x=3y+\frac{15}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-52}{15}\\-2x+6y=\frac{-296}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-16}{3}\\-3x-y=\frac{-37}{6}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{-447}{11}\\3x-y=\frac{237}{22}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-15}{2})\}\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{-36}{7}\\-2x=-y+\frac{9}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{15}{7})\}\)
3. \(\left\{\begin{matrix}y=\frac{103}{34}-6x\\4x-5y=\frac{165}{34}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}3y=\frac{117}{238}-6x\\x+5y=\frac{-57}{238}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-1}{14})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-324}{5}-6x\\x+3y=\frac{126}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},9)\}\)
6. \(\left\{\begin{matrix}-2x+4y=\frac{59}{35}\\-3x-y=\frac{-103}{70}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{4}{7})\}\)
7. \(\left\{\begin{matrix}-6x-y=\frac{67}{15}\\-3x+5y=\frac{61}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}3x-6y=\frac{-49}{5}\\x-6y=\frac{-133}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{7}{5})\}\)
9. \(\left\{\begin{matrix}-4x-4y=\frac{41}{5}\\x=5y+\frac{199}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},-2)\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{60}{7}\\x=3y+\frac{15}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{14})\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-52}{15}\\-2x+6y=\frac{-296}{45}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-4}{5})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-16}{3}\\-3x-y=\frac{-37}{6}\end{matrix}\right.\qquad V=\{(2,\frac{1}{6})\}\)