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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-36}{85}-3x\\x+3y=\frac{-46}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{89}{9}-5x\\4x-6y=\frac{352}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+5y=\frac{46}{3}\\-x+y=\frac{-94}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=-1\\3x=-6y+\frac{-27}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{17}{16}\\4x+y=\frac{67}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-211}{30}\\-5x-y=\frac{-31}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+4y=\frac{-528}{35}\\-6x+y=\frac{593}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-4}{7}+3x\\x+6y=\frac{116}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-86}{105}+3x\\-x-3y=\frac{-113}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{45}{7}\\x-y=\frac{37}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-y=\frac{-1}{132}\\2x-3y=\frac{-359}{66}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-1}{2}-4x\\-x-4y=\frac{7}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-36}{85}-3x\\x+3y=\frac{-46}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-1}{5})\}\)
2. \(\left\{\begin{matrix}-y=\frac{89}{9}-5x\\4x-6y=\frac{352}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},-6)\}\)
3. \(\left\{\begin{matrix}2x+5y=\frac{46}{3}\\-x+y=\frac{-94}{15}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}-2x+y=-1\\3x=-6y+\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-2)\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{17}{16}\\4x+y=\frac{67}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-211}{30}\\-5x-y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{11}{6})\}\)
7. \(\left\{\begin{matrix}5x+4y=\frac{-528}{35}\\-6x+y=\frac{593}{35}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-4}{7}+3x\\x+6y=\frac{116}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{8}{7})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-86}{105}+3x\\-x-3y=\frac{-113}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{19}{15})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{45}{7}\\x-y=\frac{37}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-6}{5})\}\)
11. \(\left\{\begin{matrix}-x-y=\frac{-1}{132}\\2x-3y=\frac{-359}{66}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{12}{11})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-1}{2}-4x\\-x-4y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-3}{4})\}\)