Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{44}{7}\\2x-y=\frac{-20}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+2y=-29\\4x+y=24\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-84}{187}\\x=5y+\frac{-507}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+y=\frac{397}{38}\\5x+6y=\frac{577}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-19}{3}-3x\\x+y=\frac{-8}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{101}{36}-2x\\6x-4y=\frac{23}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-21}{10}+4x\\x-y=\frac{7}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-590}{63}\\-3x-y=\frac{172}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-5y=\frac{7}{12}\\-x=6y+\frac{-107}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{717}{136}-6x\\-4x+y=\frac{-83}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-y=\frac{87}{4}\\-3x=-2y+\frac{47}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-471}{380}\\-x+y=\frac{-157}{380}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{44}{7}\\2x-y=\frac{-20}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}-6x+2y=-29\\4x+y=24\end{matrix}\right.\qquad V=\{(\frac{11}{2},2)\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-84}{187}\\x=5y+\frac{-507}{187}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{12}{17})\}\)
4. \(\left\{\begin{matrix}5x+y=\frac{397}{38}\\5x+6y=\frac{577}{38}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{18}{19})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-19}{3}-3x\\x+y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{3})\}\)
6. \(\left\{\begin{matrix}-y=\frac{101}{36}-2x\\6x-4y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-21}{10}+4x\\x-y=\frac{7}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-590}{63}\\-3x-y=\frac{172}{63}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-13}{9})\}\)
9. \(\left\{\begin{matrix}3x-5y=\frac{7}{12}\\-x=6y+\frac{-107}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}5y=\frac{717}{136}-6x\\-4x+y=\frac{-83}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{9}{17})\}\)
11. \(\left\{\begin{matrix}-5x-y=\frac{87}{4}\\-3x=-2y+\frac{47}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-471}{380}\\-x+y=\frac{-157}{380}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-5}{19})\}\)