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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-2y=\frac{-4}{5}\\-3x=y+\frac{8}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{642}{77}\\5x=-y+\frac{674}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-2y=\frac{-628}{57}\\5x=-6y+\frac{676}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-289}{70}\\-5x-y=\frac{187}{140}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-28}{3}+5x\\6x+y=\frac{383}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{-46}{3}\\6x=-y+12\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{3}{5}-x\\-2x+6y=\frac{43}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{26}{15}-x\\3x+2y=\frac{-13}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{206}{13}\\-x-y=\frac{148}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-297}{35}-2x\\x+3y=\frac{333}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+6y=\frac{154}{85}\\6x-4y=\frac{-436}{85}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{288}{35}-4x\\-x-3y=\frac{128}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-2y=\frac{-4}{5}\\-3x=y+\frac{8}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{642}{77}\\5x=-y+\frac{674}{77}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{4}{7})\}\)
3. \(\left\{\begin{matrix}x-2y=\frac{-628}{57}\\5x=-6y+\frac{676}{19}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{17}{3})\}\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-289}{70}\\-5x-y=\frac{187}{140}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{9}{20})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-28}{3}+5x\\6x+y=\frac{383}{60}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-17}{12})\}\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{-46}{3}\\6x=-y+12\end{matrix}\right.\qquad V=\{(\frac{5}{3},2)\}\)
7. \(\left\{\begin{matrix}2y=\frac{3}{5}-x\\-2x+6y=\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{20})\}\)
8. \(\left\{\begin{matrix}4y=\frac{26}{15}-x\\3x+2y=\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{13}{20})\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{206}{13}\\-x-y=\frac{148}{13}\end{matrix}\right.\qquad V=\{(-10,\frac{-18}{13})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-297}{35}-2x\\x+3y=\frac{333}{70}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}x+6y=\frac{154}{85}\\6x-4y=\frac{-436}{85}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}2y=\frac{288}{35}-4x\\-x-3y=\frac{128}{35}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-16}{7})\}\)