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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{55}{12}\\x-4y=\frac{-17}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-295}{7}-4x\\-x-5y=\frac{-222}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{13}{2}\\-4x=-3y+\frac{-8}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-4y=\frac{-251}{28}\\3x-5y=\frac{-473}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{38}{5}-3x\\-x+2y=\frac{-58}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{3}{20}+x\\5x+2y=\frac{-16}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-33}{5}-4x\\-3x+y=\frac{-101}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{5}{3}+2x\\-5x+y=\frac{-81}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-5y=\frac{-43}{13}\\-4x+4y=\frac{-132}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-2y=\frac{97}{19}\\-x=2y+\frac{101}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=-4\\-4x=-6y+\frac{-16}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-46}{171}\\-x+y=\frac{-175}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{55}{12}\\x-4y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-295}{7}-4x\\-x-5y=\frac{-222}{7}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{13}{2})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{13}{2}\\-4x=-3y+\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}x-4y=\frac{-251}{28}\\3x-5y=\frac{-473}{28}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{10}{7})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{38}{5}-3x\\-x+2y=\frac{-58}{15}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}y=\frac{3}{20}+x\\5x+2y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-7}{20})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-33}{5}-4x\\-3x+y=\frac{-101}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{20},-4)\}\)
8. \(\left\{\begin{matrix}5y=\frac{5}{3}+2x\\-5x+y=\frac{-81}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{16}{15})\}\)
9. \(\left\{\begin{matrix}x-5y=\frac{-43}{13}\\-4x+4y=\frac{-132}{13}\end{matrix}\right.\qquad V=\{(4,\frac{19}{13})\}\)
10. \(\left\{\begin{matrix}-3x-2y=\frac{97}{19}\\-x=2y+\frac{101}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-1}{19})\}\)
11. \(\left\{\begin{matrix}2x+y=-4\\-4x=-6y+\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-46}{171}\\-x+y=\frac{-175}{171}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-4}{9})\}\)