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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-17}{2}+3x\\-3x+4y=17\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-29}{15}\\-2x-5y=\frac{-28}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-3y=\frac{-101}{10}\\-5x=4y+\frac{-103}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-1545}{136}\\3x=y+\frac{-1065}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=65\\6x-y=5\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{79}{5}-5x\\-4x+6y=\frac{-58}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{24}{7}\\-x-2y=\frac{-22}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{193}{10}\\-3x-y=\frac{669}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-41}{14}-5x\\-x+5y=\frac{183}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-7}{12}-3x\\-x-6y=\frac{-17}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{206}{5}\\x=2y+\frac{81}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-1028}{95}\\x-y=\frac{-257}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-17}{2}+3x\\-3x+4y=17\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{17}{2})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-29}{15}\\-2x-5y=\frac{-28}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{2}{15})\}\)
3. \(\left\{\begin{matrix}x-3y=\frac{-101}{10}\\-5x=4y+\frac{-103}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{5})\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-1545}{136}\\3x=y+\frac{-1065}{136}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{12}{17})\}\)
5. \(\left\{\begin{matrix}2x+6y=65\\6x-y=5\end{matrix}\right.\qquad V=\{(\frac{5}{2},10)\}\)
6. \(\left\{\begin{matrix}-y=\frac{79}{5}-5x\\-4x+6y=\frac{-58}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{1}{5})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{24}{7}\\-x-2y=\frac{-22}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},2)\}\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{193}{10}\\-3x-y=\frac{669}{20}\end{matrix}\right.\qquad V=\{(-11,\frac{-9}{20})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-41}{14}-5x\\-x+5y=\frac{183}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{19}{7})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-7}{12}-3x\\-x-6y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{6})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{206}{5}\\x=2y+\frac{81}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},-8)\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{-1028}{95}\\x-y=\frac{-257}{95}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{18}{5})\}\)