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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{1098}{133}+3x\\-5x-y=\frac{943}{266}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+2y=\frac{223}{11}\\-4x=-3y+\frac{318}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{5}{2}\\-5x=-6y+8\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{343}{12}\\4x-2y=\frac{-37}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{-233}{12}\\6x=-y+\frac{143}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-63}{8}-6x\\x-y=\frac{-11}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-15}{4}+x\\5x+3y=\frac{-77}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-55}{3}\\-4x=y+\frac{95}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-142}{19}+5x\\x+y=\frac{142}{95}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-5y=\frac{-769}{260}\\-6x+4y=\frac{747}{130}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-64}{195}-3x\\-3x+y=\frac{77}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-88}{19}\\6x+6y=\frac{204}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{1098}{133}+3x\\-5x-y=\frac{943}{266}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{13}{14})\}\)
2. \(\left\{\begin{matrix}x+2y=\frac{223}{11}\\-4x=-3y+\frac{318}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},10)\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{5}{2}\\-5x=-6y+8\end{matrix}\right.\qquad V=\{(-1,\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{343}{12}\\4x-2y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{17}{3})\}\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{-233}{12}\\6x=-y+\frac{143}{8}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-17}{8})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-63}{8}-6x\\x-y=\frac{-11}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
7. \(\left\{\begin{matrix}y=\frac{-15}{4}+x\\5x+3y=\frac{-77}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{4})\}\)
8. \(\left\{\begin{matrix}4x+2y=\frac{-55}{3}\\-4x=y+\frac{95}{6}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-5}{2})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-142}{19}+5x\\x+y=\frac{142}{95}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-2}{19})\}\)
10. \(\left\{\begin{matrix}x-5y=\frac{-769}{260}\\-6x+4y=\frac{747}{130}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{6}{13})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-64}{195}-3x\\-3x+y=\frac{77}{195}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-1}{15})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-88}{19}\\6x+6y=\frac{204}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{16}{19})\}\)