Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{257}{21}+6x\\-4x-y=\frac{1069}{105}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{203}{5}+3x\\6x-y=\frac{44}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{43}{6}\\6x=-y+\frac{-15}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{-425}{4}\\-2x-3y=\frac{-85}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-6y=\frac{-96}{5}\\x=6y+\frac{-56}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-22}{3}\\x-6y=\frac{34}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{33}{7}-5x\\-x+y=\frac{-6}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{38}{39}+x\\5x+4y=\frac{-718}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{-152}{35}\\x-3y=\frac{24}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{34}{15}\\x=-y+\frac{1}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{7}{2}-4x\\-x-3y=\frac{3}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-19}{10}\\x+3y=\frac{-67}{20}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{257}{21}+6x\\-4x-y=\frac{1069}{105}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-7}{15})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{203}{5}+3x\\6x-y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-10)\}\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{43}{6}\\6x=-y+\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},-1)\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{-425}{4}\\-2x-3y=\frac{-85}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},17)\}\)
5. \(\left\{\begin{matrix}-3x-6y=\frac{-96}{5}\\x=6y+\frac{-56}{5}\end{matrix}\right.\qquad V=\{(2,\frac{11}{5})\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-22}{3}\\x-6y=\frac{34}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-2)\}\)
7. \(\left\{\begin{matrix}-2y=\frac{33}{7}-5x\\-x+y=\frac{-6}{7}\end{matrix}\right.\qquad V=\{(1,\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{38}{39}+x\\5x+4y=\frac{-718}{39}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{16}{13})\}\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{-152}{35}\\x-3y=\frac{24}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{1}{5})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{34}{15}\\x=-y+\frac{1}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}2y=\frac{7}{2}-4x\\-x-3y=\frac{3}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-19}{10}\\x+3y=\frac{-67}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},-1)\}\)