Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{46}{7}\\-5x=-y+\frac{29}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{52}{11}\\-x=4y+\frac{50}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{173}{136}\\-4x-4y=\frac{91}{68}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{713}{165}\\6x-6y=\frac{-734}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{46}{5}+5x\\-x+2y=\frac{14}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{-927}{220}\\-3x+5y=\frac{-899}{220}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-111}{10}\\x+y=\frac{-129}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{-23}{7}\\-x+3y=\frac{-89}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+3y=\frac{-158}{21}\\4x=y+\frac{104}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=9-4x\\5x-4y=\frac{39}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{407}{30}+5x\\-3x-y=\frac{83}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+y=\frac{-19}{12}\\-4x+2y=\frac{-16}{3}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{46}{7}\\-5x=-y+\frac{29}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},2)\}\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{52}{11}\\-x=4y+\frac{50}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{173}{136}\\-4x-4y=\frac{91}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{-11}{17})\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{713}{165}\\6x-6y=\frac{-734}{55}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{17}{15})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{46}{5}+5x\\-x+2y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{2}{5})\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{-927}{220}\\-3x+5y=\frac{-899}{220}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-8}{11})\}\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-111}{10}\\x+y=\frac{-129}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},-6)\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{-23}{7}\\-x+3y=\frac{-89}{28}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}6x+3y=\frac{-158}{21}\\4x=y+\frac{104}{63}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-20}{9})\}\)
10. \(\left\{\begin{matrix}-y=9-4x\\5x-4y=\frac{39}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},-3)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{407}{30}+5x\\-3x-y=\frac{83}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{1}{5})\}\)
12. \(\left\{\begin{matrix}-x+y=\frac{-19}{12}\\-4x+2y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-1}{2})\}\)