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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{-617}{45}\\4x-y=\frac{-361}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-2y=\frac{1038}{85}\\x+4y=\frac{372}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-14}{5}-x\\-5x+4y=\frac{4}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=\frac{31}{6}\\-2x-y=\frac{-5}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-26}{3}+6x\\x-5y=\frac{16}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-1779}{221}+2x\\4x+y=\frac{1335}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{756}{221}-4x\\x-y=\frac{-123}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{5}-4x\\-x+3y=\frac{5}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-65}{19}-4x\\-6x-y=\frac{39}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{115}{24}-5x\\-x+3y=\frac{13}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-3}{7}\\2x+y=\frac{24}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=10\\-6x-y=\frac{-189}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{-617}{45}\\4x-y=\frac{-361}{45}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-13}{15})\}\)
2. \(\left\{\begin{matrix}4x-2y=\frac{1038}{85}\\x+4y=\frac{372}{85}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{5}{17})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-14}{5}-x\\-5x+4y=\frac{4}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}3x-3y=\frac{31}{6}\\-2x-y=\frac{-5}{18}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-19}{18})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-26}{3}+6x\\x-5y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-1779}{221}+2x\\4x+y=\frac{1335}{221}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{19}{17})\}\)
7. \(\left\{\begin{matrix}2y=\frac{756}{221}-4x\\x-y=\frac{-123}{221}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{16}{17})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{5}-4x\\-x+3y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{3}{10})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-65}{19}-4x\\-6x-y=\frac{39}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-9}{19})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{115}{24}-5x\\-x+3y=\frac{13}{24}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{5}{8})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-3}{7}\\2x+y=\frac{24}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{6}{7})\}\)
12. \(\left\{\begin{matrix}5x-2y=10\\-6x-y=\frac{-189}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-3}{4})\}\)