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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=0+4x\\-x+4y=-2\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{61}{14}-6x\\6x+6y=\frac{153}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{1142}{99}\\-x=y+\frac{227}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-51}{2}\\6x=y+\frac{-57}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-33}{10}-4x\\-5x+y=\frac{15}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{1}{18}+2x\\4x-3y=\frac{43}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{-207}{38}\\-x-y=\frac{9}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-1}{7}\\5x-5y=\frac{65}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+2y=\frac{46}{7}\\-x-3y=\frac{-55}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{1069}{210}+x\\-4x-3y=\frac{451}{210}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+6y=\frac{-431}{20}\\2x=4y+\frac{129}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-61}{17}-2x\\x-y=\frac{29}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=0+4x\\-x+4y=-2\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-4}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{61}{14}-6x\\6x+6y=\frac{153}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{7}{2})\}\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{1142}{99}\\-x=y+\frac{227}{99}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-13}{11})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-51}{2}\\6x=y+\frac{-57}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{3}{2})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-33}{10}-4x\\-5x+y=\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-y=\frac{1}{18}+2x\\4x-3y=\frac{43}{18}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{-207}{38}\\-x-y=\frac{9}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-14}{19})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-1}{7}\\5x-5y=\frac{65}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-19}{14})\}\)
9. \(\left\{\begin{matrix}2x+2y=\frac{46}{7}\\-x-3y=\frac{-55}{7}\end{matrix}\right.\qquad V=\{(1,\frac{16}{7})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{1069}{210}+x\\-4x-3y=\frac{451}{210}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-15}{14})\}\)
11. \(\left\{\begin{matrix}x+6y=\frac{-431}{20}\\2x=4y+\frac{129}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{-7}{2})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-61}{17}-2x\\x-y=\frac{29}{17}\end{matrix}\right.\qquad V=\{(\frac{12}{17},-1)\}\)