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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+3y=\frac{452}{15}\\-x=4y+\frac{164}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{235}{57}-2x\\-4x+y=\frac{-371}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-31}{48}\\6x-y=\frac{-211}{48}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-117}{38}\\x=-2y+\frac{-59}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{-167}{55}\\x=-4y+\frac{-3}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=-34\\-x=y+17\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-86}{15}+6x\\4x-2y=\frac{44}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-3y=6\\x+y=\frac{-19}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-80}{17}+4x\\-3x+y=\frac{-57}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{-44}{7}\\-4x-6y=\frac{79}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{63}{40}-2x\\-3x+3y=\frac{-117}{80}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{13}{3}\\6x=4y+42\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+3y=\frac{452}{15}\\-x=4y+\frac{164}{15}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-16}{15})\}\)
2. \(\left\{\begin{matrix}5y=\frac{235}{57}-2x\\-4x+y=\frac{-371}{57}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{3}{19})\}\)
3. \(\left\{\begin{matrix}6x-5y=\frac{-31}{48}\\6x-y=\frac{-211}{48}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-15}{16})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-117}{38}\\x=-2y+\frac{-59}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-5}{19})\}\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{-167}{55}\\x=-4y+\frac{-3}{55}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-2}{5})\}\)
6. \(\left\{\begin{matrix}2x+2y=-34\\-x=y+17\end{matrix}\right.\qquad V=\{(-11,-6)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-86}{15}+6x\\4x-2y=\frac{44}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}-6x-3y=6\\x+y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-7}{6})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-80}{17}+4x\\-3x+y=\frac{-57}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{17})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{-44}{7}\\-4x-6y=\frac{79}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-13}{12})\}\)
11. \(\left\{\begin{matrix}y=\frac{63}{40}-2x\\-3x+3y=\frac{-117}{80}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{1}{5})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{13}{3}\\6x=4y+42\end{matrix}\right.\qquad V=\{(\frac{19}{3},-1)\}\)