Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{-7}{3}\\x-5y=\frac{43}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{-108}{77}\\x-y=\frac{10}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{12}{7}+2x\\-x-2y=\frac{6}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-27}{5}-5x\\4x-2y=-6\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-386}{21}\\-x=4y+\frac{622}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-6y=\frac{-1162}{143}\\x=-3y+\frac{823}{143}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{550}{153}\\6x=-y+\frac{-5}{153}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{841}{380}\\-2x-6y=\frac{641}{190}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{1}{5}+3x\\2x-4y=\frac{81}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-7}{10}+2x\\3x-6y=\frac{123}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-256}{171}\\-x=-3y+\frac{-20}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{1}{2}\\3x=-y+\frac{23}{20}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{-7}{3}\\x-5y=\frac{43}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-1}{15})\}\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{-108}{77}\\x-y=\frac{10}{77}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{12}{7}+2x\\-x-2y=\frac{6}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-13}{14})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-27}{5}-5x\\4x-2y=-6\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{7}{5})\}\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-386}{21}\\-x=4y+\frac{622}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-19}{9})\}\)
6. \(\left\{\begin{matrix}2x-6y=\frac{-1162}{143}\\x=-3y+\frac{823}{143}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{18}{11})\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{550}{153}\\6x=-y+\frac{-5}{153}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{-13}{9})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{841}{380}\\-2x-6y=\frac{641}{190}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{-13}{20})\}\)
9. \(\left\{\begin{matrix}-y=\frac{1}{5}+3x\\2x-4y=\frac{81}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-7}{10}+2x\\3x-6y=\frac{123}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{-256}{171}\\-x=-3y+\frac{-20}{57}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{1}{9})\}\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{1}{2}\\3x=-y+\frac{23}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{20})\}\)