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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=\frac{21}{22}\\3x+3y=\frac{93}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{202}{21}\\-4x=-y+\frac{23}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-738}{17}+3x\\-5x+y=\frac{-1090}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{95}{44}-5x\\3x-2y=\frac{113}{44}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-14}{3}+5x\\-x-5y=\frac{2}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{721}{190}-5x\\2x-y=\frac{497}{380}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+4y=\frac{138}{11}\\6x=y+\frac{-21}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{302}{63}\\-2x=2y+\frac{-194}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-221}{15}\\-3x+y=\frac{44}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+y=17\\5x-2y=11\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{827}{66}\\-x=-5y+\frac{457}{66}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-187}{21}-x\\-4x-2y=\frac{418}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=\frac{21}{22}\\3x+3y=\frac{93}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{202}{21}\\-4x=-y+\frac{23}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-11}{7})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-738}{17}+3x\\-5x+y=\frac{-1090}{17}\end{matrix}\right.\qquad V=\{(13,\frac{15}{17})\}\)
4. \(\left\{\begin{matrix}-y=\frac{95}{44}-5x\\3x-2y=\frac{113}{44}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-10}{11})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-14}{3}+5x\\-x-5y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-2}{5})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{721}{190}-5x\\2x-y=\frac{497}{380}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-3}{20})\}\)
7. \(\left\{\begin{matrix}3x+4y=\frac{138}{11}\\6x=y+\frac{-21}{11}\end{matrix}\right.\qquad V=\{(\frac{2}{11},3)\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{302}{63}\\-2x=2y+\frac{-194}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{19}{9})\}\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-221}{15}\\-3x+y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{19}{5})\}\)
10. \(\left\{\begin{matrix}5x+y=17\\5x-2y=11\end{matrix}\right.\qquad V=\{(3,2)\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{827}{66}\\-x=-5y+\frac{457}{66}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{9}{11})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-187}{21}-x\\-4x-2y=\frac{418}{21}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{5}{7})\}\)