Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{-59}{15}\\-4x-y=\frac{-73}{60}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-13}{3}+2x\\-6x+y=\frac{-107}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+3y=\frac{675}{187}\\x=-5y+\frac{377}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{289}{39}\\x=-y+\frac{-71}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{495}{8}+5x\\6x-y=\frac{-573}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-25}{9}+5x\\-6x+5y=\frac{-112}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-103}{5}\\x=-5y+\frac{659}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-y=\frac{-258}{143}\\-6x=-3y+\frac{774}{143}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-y=\frac{11}{12}\\2x=-2y+\frac{5}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{52}{11}\\-x=-y+\frac{16}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=-1+3x\\-3x-4y=\frac{-17}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-5y=\frac{2}{7}\\x+y=\frac{15}{7}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{-59}{15}\\-4x-y=\frac{-73}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{19}{20})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-13}{3}+2x\\-6x+y=\frac{-107}{9}\end{matrix}\right.\qquad V=\{(2,\frac{1}{9})\}\)
3. \(\left\{\begin{matrix}5x+3y=\frac{675}{187}\\x=-5y+\frac{377}{187}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{5}{17})\}\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{289}{39}\\x=-y+\frac{-71}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-2}{13})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{495}{8}+5x\\6x-y=\frac{-573}{8}\end{matrix}\right.\qquad V=\{(-12,\frac{-3}{8})\}\)
6. \(\left\{\begin{matrix}y=\frac{-25}{9}+5x\\-6x+5y=\frac{-112}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{2}{9})\}\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-103}{5}\\x=-5y+\frac{659}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},9)\}\)
8. \(\left\{\begin{matrix}2x-y=\frac{-258}{143}\\-6x=-3y+\frac{774}{143}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{8}{11})\}\)
9. \(\left\{\begin{matrix}-5x-y=\frac{11}{12}\\2x=-2y+\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{52}{11}\\-x=-y+\frac{16}{11}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},1)\}\)
11. \(\left\{\begin{matrix}-y=-1+3x\\-3x-4y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{2})\}\)
12. \(\left\{\begin{matrix}6x-5y=\frac{2}{7}\\x+y=\frac{15}{7}\end{matrix}\right.\qquad V=\{(1,\frac{8}{7})\}\)