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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{1161}{170}-3x\\5x+y=\frac{2187}{340}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{249}{10}\\-x=-4y+\frac{73}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-661}{182}-5x\\-6x-y=\frac{167}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+2y=\frac{35}{38}\\-3x-y=\frac{-225}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{94}{3}+4x\\-2x-y=\frac{-13}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-47}{3}\\-x=2y+-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-101}{20}\\-5x=-y+\frac{-1}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{-27}{14}\\-4x-5y=\frac{-69}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-710}{57}\\-x-3y=\frac{283}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+2y=\frac{-43}{21}\\x=y+\frac{115}{42}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{634}{95}+4x\\3x-y=\frac{-601}{190}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-3y=\frac{-19}{3}\\-5x-y=\frac{16}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{1161}{170}-3x\\5x+y=\frac{2187}{340}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{11}{20})\}\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{249}{10}\\-x=-4y+\frac{73}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-3}{20})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-661}{182}-5x\\-6x-y=\frac{167}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{4}{13})\}\)
4. \(\left\{\begin{matrix}2x+2y=\frac{35}{38}\\-3x-y=\frac{-225}{76}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-15}{19})\}\)
5. \(\left\{\begin{matrix}6y=\frac{94}{3}+4x\\-2x-y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},5)\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-47}{3}\\-x=2y+-1\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-101}{20}\\-5x=-y+\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},-2)\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{-27}{14}\\-4x-5y=\frac{-69}{28}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-710}{57}\\-x-3y=\frac{283}{57}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}4x+2y=\frac{-43}{21}\\x=y+\frac{115}{42}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-13}{6})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{634}{95}+4x\\3x-y=\frac{-601}{190}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-14}{19})\}\)
12. \(\left\{\begin{matrix}6x-3y=\frac{-19}{3}\\-5x-y=\frac{16}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},1)\}\)