Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+2y=\frac{-369}{70}\\x=3y+\frac{207}{70}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+2y=\frac{-22}{15}\\x+3y=\frac{-17}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-315}{38}\\-x=-2y+\frac{327}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{326}{11}\\-2x=y+\frac{-108}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{239}{51}+2x\\-x+5y=\frac{775}{153}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+2y=-55\\-2x-y=\frac{-35}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{7}{24}+3x\\-2x-y=\frac{-1}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{247}{11}+6x\\-x+5y=\frac{487}{66}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-23}{2}\\-6x=-y+\frac{83}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-27}{20}+x\\2x-5y=\frac{281}{80}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-79}{19}-5x\\x-5y=\frac{197}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-127}{20}+4x\\-x-4y=\frac{-9}{10}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+2y=\frac{-369}{70}\\x=3y+\frac{207}{70}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-9}{7})\}\)
2. \(\left\{\begin{matrix}4x+2y=\frac{-22}{15}\\x+3y=\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-8}{15})\}\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-315}{38}\\-x=-2y+\frac{327}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{17}{8})\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{326}{11}\\-2x=y+\frac{-108}{11}\end{matrix}\right.\qquad V=\{(5,\frac{-2}{11})\}\)
5. \(\left\{\begin{matrix}3y=\frac{239}{51}+2x\\-x+5y=\frac{775}{153}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{7}{9})\}\)
6. \(\left\{\begin{matrix}-6x+2y=-55\\-2x-y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(9,\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{7}{24}+3x\\-2x-y=\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-1}{6})\}\)
8. \(\left\{\begin{matrix}6y=\frac{247}{11}+6x\\-x+5y=\frac{487}{66}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{10}{11})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-23}{2}\\-6x=-y+\frac{83}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-27}{20}+x\\2x-5y=\frac{281}{80}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-1}{16})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-79}{19}-5x\\x-5y=\frac{197}{19}\end{matrix}\right.\qquad V=\{(\frac{7}{19},-2)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-127}{20}+4x\\-x-4y=\frac{-9}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{-1}{4})\}\)