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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{191}{171}\\5x=6y+\frac{433}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{7}{15}\\-x=2y+\frac{38}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{70}{33}\\-4x-y=\frac{65}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=9\\2x+y=-3\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-122}{3}+2x\\-x+y=\frac{-59}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{408}{13}\\-6x+y=\frac{484}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{31}{7}-4x\\5x-3y=11\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-167}{153}\\-4x=-3y+\frac{130}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{159}{70}\\-6x=-4y+\frac{361}{105}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+4y=\frac{428}{187}\\-x=y+\frac{-90}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{9}{14}+x\\-6x-5y=\frac{13}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-2y=\frac{122}{7}\\x=y+\frac{40}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{191}{171}\\5x=6y+\frac{433}{57}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-11}{9})\}\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{7}{15}\\-x=2y+\frac{38}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-13}{15})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{70}{33}\\-4x-y=\frac{65}{33}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{15}{11})\}\)
4. \(\left\{\begin{matrix}-4x-5y=9\\2x+y=-3\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
5. \(\left\{\begin{matrix}4y=\frac{-122}{3}+2x\\-x+y=\frac{-59}{3}\end{matrix}\right.\qquad V=\{(19,\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{408}{13}\\-6x+y=\frac{484}{13}\end{matrix}\right.\qquad V=\{(-6,\frac{16}{13})\}\)
7. \(\left\{\begin{matrix}y=\frac{31}{7}-4x\\5x-3y=11\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-9}{7})\}\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-167}{153}\\-4x=-3y+\frac{130}{51}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{14}{9})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{159}{70}\\-6x=-4y+\frac{361}{105}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},\frac{-8}{15})\}\)
10. \(\left\{\begin{matrix}5x+4y=\frac{428}{187}\\-x=y+\frac{-90}{187}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{2}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{9}{14}+x\\-6x-5y=\frac{13}{56}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{1}{8})\}\)
12. \(\left\{\begin{matrix}4x-2y=\frac{122}{7}\\x=y+\frac{40}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-19}{7})\}\)