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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-455}{48}+3x\\6x+y=\frac{667}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{29}{30}\\-x-4y=\frac{-97}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{677}{9}\\5x+y=\frac{88}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-4y=\frac{16}{3}\\-5x+y=\frac{17}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-454}{209}+4x\\-x-4y=\frac{1511}{209}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{-433}{114}\\-x+6y=\frac{-145}{342}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{94}{9}\\x=y+\frac{47}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{79}{7}\\-x-5y=\frac{199}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=-21\\x=-2y+\frac{38}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{347}{112}\\-4x=-6y+\frac{11}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-629}{95}-5x\\-x+5y=\frac{-113}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+3y=\frac{-27}{20}\\-x-y=\frac{9}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-455}{48}+3x\\6x+y=\frac{667}{48}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{9}{16})\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{29}{30}\\-x-4y=\frac{-97}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{16}{15})\}\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{677}{9}\\5x+y=\frac{88}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},17)\}\)
4. \(\left\{\begin{matrix}-5x-4y=\frac{16}{3}\\-5x+y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-454}{209}+4x\\-x-4y=\frac{1511}{209}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-18}{11})\}\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{-433}{114}\\-x+6y=\frac{-145}{342}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{2}{19})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{94}{9}\\x=y+\frac{47}{18}\end{matrix}\right.\qquad V=\{(\frac{11}{18},-2)\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{79}{7}\\-x-5y=\frac{199}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-6}{7})\}\)
9. \(\left\{\begin{matrix}-2x-3y=-21\\x=-2y+\frac{38}{3}\end{matrix}\right.\qquad V=\{(4,\frac{13}{3})\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{347}{112}\\-4x=-6y+\frac{11}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{6}{7})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-629}{95}-5x\\-x+5y=\frac{-113}{57}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-8}{15})\}\)
12. \(\left\{\begin{matrix}3x+3y=\frac{-27}{20}\\-x-y=\frac{9}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{4})\}\)