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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{767}{44}+5x\\x-6y=\frac{613}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{29}{7}\\-5x=-6y+\frac{-146}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-16}{3}\\-x+5y=4\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+3y=\frac{18}{17}\\-x-2y=\frac{59}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{1109}{380}\\5x=3y+\frac{1669}{380}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-3y=\frac{-3}{2}\\-x=3y+\frac{-19}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{-49}{3}\\-x-y=\frac{35}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{77}{9}\\-x=y+\frac{-7}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-4y=\frac{268}{45}\\-6x=y+\frac{-61}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=11-6x\\-2x+y=\frac{-2}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-43}{20}\\-x+5y=\frac{83}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+y=\frac{183}{4}\\-6x-2y=\frac{-183}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{767}{44}+5x\\x-6y=\frac{613}{22}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-19}{4})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{29}{7}\\-5x=-6y+\frac{-146}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},-3)\}\)
3. \(\left\{\begin{matrix}4x-4y=\frac{-16}{3}\\-x+5y=4\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}5x+3y=\frac{18}{17}\\-x-2y=\frac{59}{85}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-11}{17})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{1109}{380}\\5x=3y+\frac{1669}{380}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-17}{20})\}\)
6. \(\left\{\begin{matrix}-3x-3y=\frac{-3}{2}\\-x=3y+\frac{-19}{2}\end{matrix}\right.\qquad V=\{(-4,\frac{9}{2})\}\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{-49}{3}\\-x-y=\frac{35}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-7}{2})\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{77}{9}\\-x=y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{20}{9})\}\)
9. \(\left\{\begin{matrix}-4x-4y=\frac{268}{45}\\-6x=y+\frac{-61}{15}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-13}{5})\}\)
10. \(\left\{\begin{matrix}-6y=11-6x\\-2x+y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},-3)\}\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-43}{20}\\-x+5y=\frac{83}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{7}{4})\}\)
12. \(\left\{\begin{matrix}3x+y=\frac{183}{4}\\-6x-2y=\frac{-183}{2}\end{matrix}\right.\qquad V=\{(14,\frac{15}{4})\}\)