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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+2y=\frac{-27}{2}\\-x=2y+\frac{55}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-14}{13}\\-x=4y+\frac{-124}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{15}{2}\\3x=y+\frac{-43}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=33+6x\\6x+5y=-21\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-121}{4}\\x-5y=\frac{221}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{-118}{57}-x\\-4x+6y=\frac{430}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{39}{17}\\-x=5y+\frac{91}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-16}{3}\\-4x=2y+-24\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+2y=\frac{414}{133}\\6x-5y=\frac{-2707}{266}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{27}{7}\\5x+6y=\frac{-92}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{3}{4}+5x\\x-y=\frac{-1}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{123}{14}\\-5x=-4y+\frac{-87}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+2y=\frac{-27}{2}\\-x=2y+\frac{55}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-7)\}\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{-14}{13}\\-x=4y+\frac{-124}{13}\end{matrix}\right.\qquad V=\{(4,\frac{18}{13})\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{15}{2}\\3x=y+\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{13}{14})\}\)
4. \(\left\{\begin{matrix}-y=33+6x\\6x+5y=-21\end{matrix}\right.\qquad V=\{(-6,3)\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-121}{4}\\x-5y=\frac{221}{16}\end{matrix}\right.\qquad V=\{(16,\frac{7}{16})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{-118}{57}-x\\-4x+6y=\frac{430}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{19})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{39}{17}\\-x=5y+\frac{91}{17}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},-1)\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-16}{3}\\-4x=2y+-24\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{10}{3})\}\)
9. \(\left\{\begin{matrix}-x+2y=\frac{414}{133}\\6x-5y=\frac{-2707}{266}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{17}{14})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{27}{7}\\5x+6y=\frac{-92}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},-1)\}\)
11. \(\left\{\begin{matrix}4y=\frac{3}{4}+5x\\x-y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{123}{14}\\-5x=-4y+\frac{-87}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-3}{2})\}\)