Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-y=\frac{193}{24}\\6x=-5y+\frac{129}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{29}{16}\\4x-y=\frac{11}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{622}{11}+2x\\-x-y=\frac{91}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{21}{304}\\-x=y+\frac{89}{304}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{5}-2x\\-2x+y=\frac{26}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+6y=6\\x+y=\frac{1}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-14}{11}-6x\\6x+5y=\frac{-128}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-13}{2}+4x\\2x-y=\frac{-47}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=\frac{-61}{28}\\-5x=-y+\frac{515}{112}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-6y=12\\3x=-4y+\frac{-46}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+y=\frac{157}{30}\\5x=-6y+\frac{-307}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=\frac{10}{3}\\2x=5y+\frac{-22}{3}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-y=\frac{193}{24}\\6x=-5y+\frac{129}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{5}{8})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{29}{16}\\4x-y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{16},-1)\}\)
3. \(\left\{\begin{matrix}-6y=\frac{622}{11}+2x\\-x-y=\frac{91}{11}\end{matrix}\right.\qquad V=\{(\frac{19}{11},-10)\}\)
4. \(\left\{\begin{matrix}-6x+3y=\frac{21}{304}\\-x=y+\frac{89}{304}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{-3}{16})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{5}-2x\\-2x+y=\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-19}{5})\}\)
6. \(\left\{\begin{matrix}3x+6y=6\\x+y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-14}{11}-6x\\6x+5y=\frac{-128}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-19}{11})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-13}{2}+4x\\2x-y=\frac{-47}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{8}{5})\}\)
9. \(\left\{\begin{matrix}4x+4y=\frac{-61}{28}\\-5x=-y+\frac{515}{112}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{5}{16})\}\)
10. \(\left\{\begin{matrix}x-6y=12\\3x=-4y+\frac{-46}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{3})\}\)
11. \(\left\{\begin{matrix}-2x+y=\frac{157}{30}\\5x=-6y+\frac{-307}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-4}{15})\}\)
12. \(\left\{\begin{matrix}x+y=\frac{10}{3}\\2x=5y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},2)\}\)