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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-3y=\frac{-101}{85}\\x=3y+\frac{-152}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-y=\frac{278}{99}\\-4x-3y=\frac{-37}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-4y=-8\\x=-2y+3\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=20+4x\\3x-2y=29\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+2y=\frac{47}{7}\\-x=3y+\frac{-177}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=50-2x\\-3x-y=-36\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{1}{17}\\2x=6y+\frac{2}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=5\\-4x=y+\frac{-1}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{218}{21}\\x-2y=\frac{-55}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{299}{35}-x\\-5x-3y=\frac{-146}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-39}{28}\\5x+5y=\frac{-635}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-43}{6}\\-x+3y=\frac{11}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-3y=\frac{-101}{85}\\x=3y+\frac{-152}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{9}{17})\}\)
2. \(\left\{\begin{matrix}x-y=\frac{278}{99}\\-4x-3y=\frac{-37}{33}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-13}{9})\}\)
3. \(\left\{\begin{matrix}4x-4y=-8\\x=-2y+3\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}-y=20+4x\\3x-2y=29\end{matrix}\right.\qquad V=\{(-1,-16)\}\)
5. \(\left\{\begin{matrix}3x+2y=\frac{47}{7}\\-x=3y+\frac{-177}{28}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{7}{4})\}\)
6. \(\left\{\begin{matrix}5y=50-2x\\-3x-y=-36\end{matrix}\right.\qquad V=\{(10,6)\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{1}{17}\\2x=6y+\frac{2}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{17})\}\)
8. \(\left\{\begin{matrix}6x+5y=5\\-4x=y+\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{5})\}\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{218}{21}\\x-2y=\frac{-55}{21}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}4y=\frac{299}{35}-x\\-5x-3y=\frac{-146}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{9}{7})\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-39}{28}\\5x+5y=\frac{-635}{28}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-15}{4})\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-43}{6}\\-x+3y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{12})\}\)