Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+5y=\frac{-795}{52}\\-x-4y=\frac{138}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{7}{40}-3x\\6x-5y=\frac{-371}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+y=\frac{1141}{34}\\4x-2y=\frac{406}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{-638}{91}\\2x=y+\frac{-170}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{66}{5}-2x\\3x+y=\frac{3}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-324}{19}\\-x=4y+\frac{69}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{1}{19}-6x\\-x+y=\frac{28}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-73}{18}-5x\\6x-y=\frac{-169}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-1481}{221}-5x\\-2x-y=\frac{192}{221}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{11}{2}+4x\\3x+2y=\frac{55}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-130}{57}+x\\4x-6y=\frac{148}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-106}{7}\\-x-y=\frac{-5}{7}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+5y=\frac{-795}{52}\\-x-4y=\frac{138}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-11}{4})\}\)
2. \(\left\{\begin{matrix}y=\frac{7}{40}-3x\\6x-5y=\frac{-371}{40}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{11}{8})\}\)
3. \(\left\{\begin{matrix}5x+y=\frac{1141}{34}\\4x-2y=\frac{406}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{18}{17})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{-638}{91}\\2x=y+\frac{-170}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{12}{7})\}\)
5. \(\left\{\begin{matrix}5y=\frac{66}{5}-2x\\3x+y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},3)\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-324}{19}\\-x=4y+\frac{69}{19}\end{matrix}\right.\qquad V=\{(-3,\frac{-3}{19})\}\)
7. \(\left\{\begin{matrix}3y=\frac{1}{19}-6x\\-x+y=\frac{28}{57}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-73}{18}-5x\\6x-y=\frac{-169}{24}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{3}{8})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-1481}{221}-5x\\-2x-y=\frac{192}{221}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{14}{17})\}\)
10. \(\left\{\begin{matrix}y=\frac{11}{2}+4x\\3x+2y=\frac{55}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},4)\}\)
11. \(\left\{\begin{matrix}2y=\frac{-130}{57}+x\\4x-6y=\frac{148}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-106}{7}\\-x-y=\frac{-5}{7}\end{matrix}\right.\qquad V=\{(2,\frac{-9}{7})\}\)