Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=\frac{-157}{4}\\x=-4y+\frac{-59}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{67}{15}\\-x-y=\frac{-193}{90}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{34}{15}-4x\\-3x-6y=\frac{43}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=\frac{-489}{65}\\-6x=y+\frac{463}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+4y=\frac{-38}{5}\\x=6y+\frac{37}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-106}{15}\\-6x-y=\frac{21}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-61}{20}+x\\-3x+5y=\frac{-479}{60}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=\frac{325}{9}\\2x=y+\frac{79}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+2y=\frac{41}{255}\\4x-4y=\frac{1244}{255}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{-17}{15}\\-4x=-3y+\frac{-49}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-286}{9}\\x+y=\frac{59}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-1511}{153}-5x\\-4x-y=\frac{1297}{153}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=\frac{-157}{4}\\x=-4y+\frac{-59}{5}\end{matrix}\right.\qquad V=\{(-14,\frac{11}{20})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{67}{15}\\-x-y=\frac{-193}{90}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{13}{9})\}\)
3. \(\left\{\begin{matrix}y=\frac{34}{15}-4x\\-3x-6y=\frac{43}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-11}{15})\}\)
4. \(\left\{\begin{matrix}6x+3y=\frac{-489}{65}\\-6x=y+\frac{463}{65}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-1}{5})\}\)
5. \(\left\{\begin{matrix}2x+4y=\frac{-38}{5}\\x=6y+\frac{37}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{5})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-106}{15}\\-6x-y=\frac{21}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{11}{10})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-61}{20}+x\\-3x+5y=\frac{-479}{60}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{1}{12})\}\)
8. \(\left\{\begin{matrix}6x+5y=\frac{325}{9}\\2x=y+\frac{79}{9}\end{matrix}\right.\qquad V=\{(5,\frac{11}{9})\}\)
9. \(\left\{\begin{matrix}x+2y=\frac{41}{255}\\4x-4y=\frac{1244}{255}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{-6}{17})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{-17}{15}\\-4x=-3y+\frac{-49}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-11}{5})\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-286}{9}\\x+y=\frac{59}{9}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{17}{9})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-1511}{153}-5x\\-4x-y=\frac{1297}{153}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{7}{17})\}\)