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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=\frac{221}{8}\\-4x-6y=\frac{325}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-415}{16}\\-2x=y+\frac{-39}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-2y=\frac{301}{39}\\x=y+\frac{175}{78}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+4y=\frac{624}{55}\\3x+y=\frac{-42}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{167}{35}\\-3x+5y=\frac{-12}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=-25+4x\\x-2y=\frac{5}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-611}{323}+3x\\-6x+2y=\frac{-1970}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-78}{85}\\6x=-y+\frac{-326}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-155}{12}\\-x+3y=\frac{-3}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-84}{85}\\-x+3y=\frac{-113}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-1070}{77}+5x\\x+3y=\frac{-227}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+4y=\frac{-62}{9}\\x-6y=\frac{-29}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=\frac{221}{8}\\-4x-6y=\frac{325}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-13}{8})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{-415}{16}\\-2x=y+\frac{-39}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{11}{2})\}\)
3. \(\left\{\begin{matrix}5x-2y=\frac{301}{39}\\x=y+\frac{175}{78}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{-7}{6})\}\)
4. \(\left\{\begin{matrix}-6x+4y=\frac{624}{55}\\3x+y=\frac{-42}{55}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{18}{11})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{167}{35}\\-3x+5y=\frac{-12}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-9}{5})\}\)
6. \(\left\{\begin{matrix}-4y=-25+4x\\x-2y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(5,\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-611}{323}+3x\\-6x+2y=\frac{-1970}{323}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-11}{19})\}\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-78}{85}\\6x=-y+\frac{-326}{85}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{2}{5})\}\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-155}{12}\\-x+3y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-84}{85}\\-x+3y=\frac{-113}{85}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-1070}{77}+5x\\x+3y=\frac{-227}{77}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-15}{11})\}\)
12. \(\left\{\begin{matrix}2x+4y=\frac{-62}{9}\\x-6y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{9})\}\)