Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=45\\-6x=-y+\frac{-235}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{756}{143}\\-4x-y=\frac{717}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-4}{5}\\-5x=y+\frac{-4}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-334}{171}\\-5x=-5y+\frac{-1130}{171}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{71}{8}+5x\\3x-y=\frac{-431}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=\frac{1782}{17}\\-x-2y=\frac{-288}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-647}{170}-2x\\-4x+y=\frac{-53}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{256}{105}+2x\\-5x+2y=\frac{74}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{46}{165}\\x+y=\frac{-23}{165}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-1191}{70}\\-2x-y=\frac{-563}{140}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{31}{4}\\-x+2y=\frac{-2}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-34}{21}-5x\\-x+y=\frac{52}{105}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=45\\-6x=-y+\frac{-235}{4}\end{matrix}\right.\qquad V=\{(10,\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{756}{143}\\-4x-y=\frac{717}{143}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-1}{11})\}\)
3. \(\left\{\begin{matrix}3x+3y=\frac{-4}{5}\\-5x=y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-334}{171}\\-5x=-5y+\frac{-1130}{171}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-4}{19})\}\)
5. \(\left\{\begin{matrix}2y=\frac{71}{8}+5x\\3x-y=\frac{-431}{80}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-5}{16})\}\)
6. \(\left\{\begin{matrix}6x+6y=\frac{1782}{17}\\-x-2y=\frac{-288}{17}\end{matrix}\right.\qquad V=\{(18,\frac{-9}{17})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-647}{170}-2x\\-4x+y=\frac{-53}{85}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{20}{17})\}\)
8. \(\left\{\begin{matrix}-y=\frac{256}{105}+2x\\-5x+2y=\frac{74}{21}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-4}{7})\}\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{46}{165}\\x+y=\frac{-23}{165}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-14}{11})\}\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-1191}{70}\\-2x-y=\frac{-563}{140}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-11}{20})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{31}{4}\\-x+2y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{12})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-34}{21}-5x\\-x+y=\frac{52}{105}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{3}{7})\}\)