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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-451}{24}+2x\\-5x+y=\frac{-95}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{86}{11}\\x+y=\frac{-91}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-172}{247}-5x\\4x+y=\frac{-320}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+3y=\frac{105}{16}\\2x-6y=\frac{-9}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{11}{342}+x\\-4x+6y=\frac{77}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{885}{247}\\-2x-3y=\frac{-1245}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=36\\4x=y+-18\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-315}{26}-6x\\-x-6y=\frac{205}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{52}{11}\\5x-6y=\frac{103}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+4y=\frac{-698}{133}\\-5x=-y+\frac{417}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{833}{57}-5x\\4x+y=\frac{799}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-y=\frac{3}{2}\\3x=-5y+\frac{-5}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-451}{24}+2x\\-5x+y=\frac{-95}{48}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{10}{3})\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{86}{11}\\x+y=\frac{-91}{33}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-1}{11})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-172}{247}-5x\\4x+y=\frac{-320}{247}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{16}{13})\}\)
4. \(\left\{\begin{matrix}x+3y=\frac{105}{16}\\2x-6y=\frac{-9}{8}\end{matrix}\right.\qquad V=\{(3,\frac{19}{16})\}\)
5. \(\left\{\begin{matrix}y=\frac{11}{342}+x\\-4x+6y=\frac{77}{57}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{11}{18})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{885}{247}\\-2x-3y=\frac{-1245}{247}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{15}{13})\}\)
7. \(\left\{\begin{matrix}-3x-3y=36\\4x=y+-18\end{matrix}\right.\qquad V=\{(-6,-6)\}\)
8. \(\left\{\begin{matrix}3y=\frac{-315}{26}-6x\\-x-6y=\frac{205}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-5}{2})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{52}{11}\\5x-6y=\frac{103}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-8}{11})\}\)
10. \(\left\{\begin{matrix}6x+4y=\frac{-698}{133}\\-5x=-y+\frac{417}{133}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-2}{7})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{833}{57}-5x\\4x+y=\frac{799}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{13}{19})\}\)
12. \(\left\{\begin{matrix}-x-y=\frac{3}{2}\\3x=-5y+\frac{-5}{6}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{11}{6})\}\)