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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-6y=\frac{-6}{7}\\x-y=\frac{-2}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=\frac{778}{105}\\-3x-6y=\frac{-94}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{1203}{26}+5x\\-x-2y=\frac{271}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{137}{19}-5x\\-3x-y=\frac{-67}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{51}{56}\\-x-5y=\frac{197}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{-129}{4}\\x=-y+\frac{-91}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=16+2x\\-x+y=\frac{5}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=-61\\x-6y=\frac{191}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{39}{2}\\-2x=-y+\frac{-21}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{-309}{10}\\-x=5y+\frac{43}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-351}{35}\\x=2y+\frac{-114}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{11}{5}\\-6x=y+\frac{32}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-6y=\frac{-6}{7}\\x-y=\frac{-2}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}5x-y=\frac{778}{105}\\-3x-6y=\frac{-94}{35}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-4}{15})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{1203}{26}+5x\\-x-2y=\frac{271}{26}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-19}{13})\}\)
4. \(\left\{\begin{matrix}3y=\frac{137}{19}-5x\\-3x-y=\frac{-67}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},1)\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{51}{56}\\-x-5y=\frac{197}{56}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-7}{8})\}\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{-129}{4}\\x=-y+\frac{-91}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{20},-5)\}\)
7. \(\left\{\begin{matrix}-4y=16+2x\\-x+y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}-6x+4y=-61\\x-6y=\frac{191}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-16)\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{39}{2}\\-2x=-y+\frac{-21}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{-309}{10}\\-x=5y+\frac{43}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-6}{5})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-351}{35}\\x=2y+\frac{-114}{35}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{11}{5})\}\)
12. \(\left\{\begin{matrix}-4x-3y=\frac{11}{5}\\-6x=y+\frac{32}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-1}{3})\}\)