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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-2y=\frac{-7}{3}\\x=5y+\frac{-103}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{235}{51}\\-6x+y=\frac{623}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=-3-5x\\-5x+2y=-3\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{565}{51}\\x+y=\frac{-296}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{353}{76}\\x-3y=\frac{267}{380}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{37}{4}\\2x+y=\frac{-17}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{2575}{228}\\5x=-y+\frac{-1283}{228}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+2y=\frac{-5}{7}\\-2x+4y=\frac{66}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{43}{5}\\-2x+y=-5\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-11}{34}\\-x+y=\frac{-11}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{853}{140}+x\\-6x+5y=\frac{99}{70}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-593}{7}+3x\\-6x-y=\frac{-178}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-2y=\frac{-7}{3}\\x=5y+\frac{-103}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},4)\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{235}{51}\\-6x+y=\frac{623}{85}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{9}{17})\}\)
3. \(\left\{\begin{matrix}y=-3-5x\\-5x+2y=-3\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-2)\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{565}{51}\\x+y=\frac{-296}{51}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-19}{3})\}\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{353}{76}\\x-3y=\frac{267}{380}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-11}{20})\}\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{37}{4}\\2x+y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{2575}{228}\\5x=-y+\frac{-1283}{228}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{-17}{12})\}\)
8. \(\left\{\begin{matrix}x+2y=\frac{-5}{7}\\-2x+4y=\frac{66}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},1)\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{43}{5}\\-2x+y=-5\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-17}{5})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-11}{34}\\-x+y=\frac{-11}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{1}{4})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{853}{140}+x\\-6x+5y=\frac{99}{70}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{-6}{7})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-593}{7}+3x\\-6x-y=\frac{-178}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},16)\}\)