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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{128}{21}\\-3x=-3y+\frac{-52}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{287}{24}\\-x=2y+\frac{-133}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=32\\-x-4y=30\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{174}{91}-2x\\2x+y=\frac{-141}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-49}{38}+6x\\2x+y=\frac{-301}{228}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=-45-4x\\-x+3y=\frac{33}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+2y=\frac{29}{10}\\x=4y+\frac{79}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=50+6x\\-x+y=\frac{39}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-83}{78}-x\\5x+4y=\frac{-19}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{85}{9}+4x\\x+2y=\frac{-167}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-36}{7}\\-6x=-y+\frac{-58}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-5y=\frac{209}{51}\\-4x-y=\frac{-220}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{128}{21}\\-3x=-3y+\frac{-52}{7}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{287}{24}\\-x=2y+\frac{-133}{24}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{17}{6})\}\)
3. \(\left\{\begin{matrix}-2x-4y=32\\-x-4y=30\end{matrix}\right.\qquad V=\{(-2,-7)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{174}{91}-2x\\2x+y=\frac{-141}{91}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-9}{13})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-49}{38}+6x\\2x+y=\frac{-301}{228}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-7}{12})\}\)
6. \(\left\{\begin{matrix}-3y=-45-4x\\-x+3y=\frac{33}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{7}{3})\}\)
7. \(\left\{\begin{matrix}6x+2y=\frac{29}{10}\\x=4y+\frac{79}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-4}{5})\}\)
8. \(\left\{\begin{matrix}5y=50+6x\\-x+y=\frac{39}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{17}{2})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-83}{78}-x\\5x+4y=\frac{-19}{39}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{1}{6})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{85}{9}+4x\\x+2y=\frac{-167}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-9}{5})\}\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-36}{7}\\-6x=-y+\frac{-58}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}2x-5y=\frac{209}{51}\\-4x-y=\frac{-220}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-6}{17})\}\)