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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+5y=1\\-4x-y=-3\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+3y=\frac{-920}{323}\\x-y=\frac{-175}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-2}{5}\\-x=-4y+\frac{29}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{140}{51}+2x\\-x+4y=\frac{-38}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=\frac{175}{114}\\-x-3y=\frac{-239}{76}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{-573}{35}\\2x-y=\frac{309}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-124}{133}\\5x=y+\frac{-725}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-93}{5}\\-2x-y=\frac{27}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{10}{3}\\x+4y=\frac{38}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-2y=\frac{15}{4}\\-x-3y=\frac{69}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+5y=\frac{37}{16}\\-3x-5y=\frac{-189}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{799}{266}\\5x=-y+\frac{-1453}{266}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+5y=1\\-4x-y=-3\end{matrix}\right.\qquad V=\{(1,-1)\}\)
2. \(\left\{\begin{matrix}2x+3y=\frac{-920}{323}\\x-y=\frac{-175}{323}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-6}{17})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-2}{5}\\-x=-4y+\frac{29}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{140}{51}+2x\\-x+4y=\frac{-38}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-6}{17})\}\)
5. \(\left\{\begin{matrix}6x+2y=\frac{175}{114}\\-x-3y=\frac{-239}{76}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{13}{12})\}\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{-573}{35}\\2x-y=\frac{309}{70}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{13}{10})\}\)
7. \(\left\{\begin{matrix}4x+4y=\frac{-124}{133}\\5x=y+\frac{-725}{133}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{5}{7})\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-93}{5}\\-2x-y=\frac{27}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-7}{2})\}\)
9. \(\left\{\begin{matrix}-5x+5y=\frac{10}{3}\\x+4y=\frac{38}{3}\end{matrix}\right.\qquad V=\{(2,\frac{8}{3})\}\)
10. \(\left\{\begin{matrix}4x-2y=\frac{15}{4}\\-x-3y=\frac{69}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}-x+5y=\frac{37}{16}\\-3x-5y=\frac{-189}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{15}{16})\}\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{799}{266}\\5x=-y+\frac{-1453}{266}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-2}{19})\}\)