Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{23}{10}+2x\\-x-6y=\frac{-3}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-124}{95}+4x\\-x+4y=\frac{541}{380}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+2y=\frac{-38}{11}\\-3x-y=\frac{28}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-5}{2}\\x-3y=\frac{-61}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{-68}{33}\\-5x-y=\frac{106}{165}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{1}{4}-5x\\x-2y=\frac{-9}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+y=\frac{-23}{5}\\-6x=-4y+\frac{-104}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{32}{5}\\-5x=-6y+\frac{34}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-487}{88}\\-x=-5y+\frac{-709}{88}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-88}{45}+x\\-2x+3y=\frac{-86}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-52}{17}-6x\\-x+5y=\frac{-73}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-37}{20}\\6x+2y=\frac{-1}{2}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{23}{10}+2x\\-x-6y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-124}{95}+4x\\-x+4y=\frac{541}{380}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{7}{19})\}\)
3. \(\left\{\begin{matrix}4x+2y=\frac{-38}{11}\\-3x-y=\frac{28}{11}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-1}{11})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-5}{2}\\x-3y=\frac{-61}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{19}{12})\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{-68}{33}\\-5x-y=\frac{106}{165}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{4}{15})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{1}{4}-5x\\x-2y=\frac{-9}{10}\end{matrix}\right.\qquad V=\{(1,\frac{19}{20})\}\)
7. \(\left\{\begin{matrix}3x+y=\frac{-23}{5}\\-6x=-4y+\frac{-104}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{15},-5)\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{32}{5}\\-5x=-6y+\frac{34}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{8}{3})\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-487}{88}\\-x=-5y+\frac{-709}{88}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-18}{11})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-88}{45}+x\\-2x+3y=\frac{-86}{45}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-52}{17}-6x\\-x+5y=\frac{-73}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-6}{17})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-37}{20}\\6x+2y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-17}{20})\}\)