Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{-1040}{19}\\3x+y=\frac{284}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-37}{11}+5x\\-5x+y=\frac{-4}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-107}{7}+x\\3x-3y=\frac{69}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=\frac{208}{187}\\-3x-5y=\frac{-533}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{38}{5}+3x\\x+5y=\frac{-14}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-177}{13}\\-x=-2y+\frac{72}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{261}{10}-6x\\-2x+y=\frac{103}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=1+5x\\2x-y=\frac{1}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-512}{45}\\-x=-6y+\frac{472}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-23}{5}-4x\\-6x-y=\frac{189}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{237}{19}-x\\2x-4y=\frac{246}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{2025}{133}-5x\\-5x-y=\frac{-30}{133}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{-1040}{19}\\3x+y=\frac{284}{19}\end{matrix}\right.\qquad V=\{(\frac{6}{19},14)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-37}{11}+5x\\-5x+y=\frac{-4}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},1)\}\)
3. \(\left\{\begin{matrix}5y=\frac{-107}{7}+x\\3x-3y=\frac{69}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},-3)\}\)
4. \(\left\{\begin{matrix}2x-y=\frac{208}{187}\\-3x-5y=\frac{-533}{187}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{2}{11})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{38}{5}+3x\\x+5y=\frac{-14}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{8}{15})\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-177}{13}\\-x=-2y+\frac{72}{13}\end{matrix}\right.\qquad V=\{(\frac{6}{13},3)\}\)
7. \(\left\{\begin{matrix}3y=\frac{261}{10}-6x\\-2x+y=\frac{103}{10}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{19}{2})\}\)
8. \(\left\{\begin{matrix}4y=1+5x\\2x-y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(1,\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-512}{45}\\-x=-6y+\frac{472}{45}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{8}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-23}{5}-4x\\-6x-y=\frac{189}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{237}{19}-x\\2x-4y=\frac{246}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},-3)\}\)
12. \(\left\{\begin{matrix}-6y=\frac{2025}{133}-5x\\-5x-y=\frac{-30}{133}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-15}{7})\}\)