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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-67}{16}\\-5x=-4y+\frac{35}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{103}{76}-5x\\6x+y=\frac{903}{380}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-y=\frac{61}{35}\\-3x+6y=\frac{-351}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-327}{85}\\2x-y=\frac{-184}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{88}{13}\\3x+3y=\frac{-48}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-24}{7}-x\\2x+3y=\frac{39}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{31}{6}\\-x-2y=\frac{-8}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{171}{4}-6x\\x-2y=\frac{39}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-44}{3}\\-6x=y+\frac{-319}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{119}{143}-3x\\4x-y=\frac{527}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-52}{5}-x\\3x+2y=\frac{-148}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{316}{95}-6x\\-x-3y=\frac{134}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-67}{16}\\-5x=-4y+\frac{35}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{16})\}\)
2. \(\left\{\begin{matrix}5y=\frac{103}{76}-5x\\6x+y=\frac{903}{380}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-3}{20})\}\)
3. \(\left\{\begin{matrix}x-y=\frac{61}{35}\\-3x+6y=\frac{-351}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-327}{85}\\2x-y=\frac{-184}{85}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{88}{13}\\3x+3y=\frac{-48}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},-2)\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-24}{7}-x\\2x+3y=\frac{39}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{31}{6}\\-x-2y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{17}{6})\}\)
8. \(\left\{\begin{matrix}6y=\frac{171}{4}-6x\\x-2y=\frac{39}{4}\end{matrix}\right.\qquad V=\{(8,\frac{-7}{8})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-44}{3}\\-6x=y+\frac{-319}{6}\end{matrix}\right.\qquad V=\{(9,\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{119}{143}-3x\\4x-y=\frac{527}{143}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{17}{11})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-52}{5}-x\\3x+2y=\frac{-148}{5}\end{matrix}\right.\qquad V=\{(-10,\frac{1}{5})\}\)
12. \(\left\{\begin{matrix}2y=\frac{316}{95}-6x\\-x-3y=\frac{134}{95}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-14}{19})\}\)