Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{57}{4}-x\\2x-6y=\frac{-63}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{8}{3}-6x\\-5x+y=\frac{-2}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{184}{3}-2x\\-x+y=\frac{-47}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{224}{11}\\x=-6y+\frac{47}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-4y=\frac{-2}{5}\\x=3y+\frac{44}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{133}{10}-x\\-6x-6y=\frac{147}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{215}{323}\\-3x=y+\frac{185}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{25}{3}-3x\\-6x-y=\frac{-239}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{-61}{7}\\-x+4y=\frac{-32}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-92}{15}\\-4x=y+\frac{-79}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-1544}{133}-4x\\x-4y=\frac{-491}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{329}{80}+2x\\x+y=\frac{-37}{80}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{57}{4}-x\\2x-6y=\frac{-63}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},5)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{8}{3}-6x\\-5x+y=\frac{-2}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},-3)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{184}{3}-2x\\-x+y=\frac{-47}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},-15)\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{224}{11}\\x=-6y+\frac{47}{11}\end{matrix}\right.\qquad V=\{(-5,\frac{17}{11})\}\)
5. \(\left\{\begin{matrix}6x-4y=\frac{-2}{5}\\x=3y+\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-19}{5})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{133}{10}-x\\-6x-6y=\frac{147}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-9}{4})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{215}{323}\\-3x=y+\frac{185}{323}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{1}{17})\}\)
8. \(\left\{\begin{matrix}2y=\frac{25}{3}-3x\\-6x-y=\frac{-239}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-13}{12})\}\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{-61}{7}\\-x+4y=\frac{-32}{7}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-5}{7})\}\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-92}{15}\\-4x=y+\frac{-79}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-7}{10})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-1544}{133}-4x\\x-4y=\frac{-491}{133}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{6}{19})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{329}{80}+2x\\x+y=\frac{-37}{80}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-17}{16})\}\)