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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{235}{28}-5x\\x-5y=\frac{75}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-6y=\frac{-37}{4}\\4x-6y=-13\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+2y=\frac{-255}{76}\\-2x=2y+\frac{175}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+y=19\\4x+6y=\frac{-27}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{147}{44}\\-x+6y=\frac{569}{88}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{264}{7}+4x\\-6x-4y=\frac{407}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{115}{3}-5x\\x-y=\frac{37}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{22}{5}+3x\\3x+3y=\frac{-12}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-81}{176}\\-4x+y=\frac{933}{176}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-y=\frac{-75}{44}\\-4x-6y=\frac{-65}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-81}{91}\\-x-y=\frac{-201}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{59}{24}-x\\5x+2y=\frac{-155}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{235}{28}-5x\\x-5y=\frac{75}{28}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}-x-6y=\frac{-37}{4}\\4x-6y=-13\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}x+2y=\frac{-255}{76}\\-2x=2y+\frac{175}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-20}{19})\}\)
4. \(\left\{\begin{matrix}-5x+y=19\\4x+6y=\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{147}{44}\\-x+6y=\frac{569}{88}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{13}{11})\}\)
6. \(\left\{\begin{matrix}y=\frac{264}{7}+4x\\-6x-4y=\frac{407}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-2}{7})\}\)
7. \(\left\{\begin{matrix}2y=\frac{115}{3}-5x\\x-y=\frac{37}{3}\end{matrix}\right.\qquad V=\{(9,\frac{-10}{3})\}\)
8. \(\left\{\begin{matrix}-y=\frac{22}{5}+3x\\3x+3y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},1)\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-81}{176}\\-4x+y=\frac{933}{176}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{15}{16})\}\)
10. \(\left\{\begin{matrix}-4x-y=\frac{-75}{44}\\-4x-6y=\frac{-65}{22}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{1}{4})\}\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-81}{91}\\-x-y=\frac{-201}{91}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{12}{13})\}\)
12. \(\left\{\begin{matrix}3y=\frac{59}{24}-x\\5x+2y=\frac{-155}{72}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{10}{9})\}\)