Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-14}{9}-2x\\-4x+y=\frac{128}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-3y=\frac{77}{34}\\-x+4y=\frac{-341}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-232}{7}-4x\\x-2y=\frac{-48}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{103}{5}\\x=y+\frac{91}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{128}{9}+6x\\-x+5y=\frac{43}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-235}{4}\\-x=-5y+\frac{35}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{7}{10}+6x\\-6x-y=\frac{37}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{611}{99}\\-4x-3y=\frac{221}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+6y=\frac{94}{55}\\6x=-y+\frac{229}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+y=\frac{-17}{4}\\-2x-5y=\frac{-23}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{13}{2}\\-x+2y=\frac{43}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{91}{51}+x\\-5x+6y=\frac{-193}{51}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-14}{9}-2x\\-4x+y=\frac{128}{9}\end{matrix}\right.\qquad V=\{(-3,\frac{20}{9})\}\)
2. \(\left\{\begin{matrix}5x-3y=\frac{77}{34}\\-x+4y=\frac{-341}{51}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{-11}{6})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-232}{7}-4x\\x-2y=\frac{-48}{7}\end{matrix}\right.\qquad V=\{(-8,\frac{-4}{7})\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{103}{5}\\x=y+\frac{91}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-17}{2})\}\)
5. \(\left\{\begin{matrix}4y=\frac{128}{9}+6x\\-x+5y=\frac{43}{9}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{9})\}\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-235}{4}\\-x=-5y+\frac{35}{4}\end{matrix}\right.\qquad V=\{(-10,\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}5y=\frac{7}{10}+6x\\-6x-y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{611}{99}\\-4x-3y=\frac{221}{99}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{13}{11})\}\)
9. \(\left\{\begin{matrix}4x+6y=\frac{94}{55}\\6x=-y+\frac{229}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-5x+y=\frac{-17}{4}\\-2x-5y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(1,\frac{3}{4})\}\)
11. \(\left\{\begin{matrix}-6x+3y=\frac{13}{2}\\-x+2y=\frac{43}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{91}{51}+x\\-5x+6y=\frac{-193}{51}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-6}{17})\}\)