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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=-66+6x\\-6x-y=2\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{388}{143}-2x\\4x-6y=\frac{1192}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+6y=\frac{21}{4}\\-4x=4y+4\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{69}{26}\\-2x-2y=\frac{9}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{100}{57}+x\\-5x+3y=\frac{860}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{339}{55}+4x\\-x-2y=\frac{116}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=0-5x\\-x-y=\frac{27}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-133}{20}-2x\\-3x-y=\frac{203}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-33}{5}\\-4x+5y=\frac{13}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{191}{104}+6x\\-x+6y=\frac{437}{104}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{136}{35}+2x\\2x+6y=\frac{-234}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-y=\frac{-307}{80}\\6x=4y+\frac{-219}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=-66+6x\\-6x-y=2\end{matrix}\right.\qquad V=\{(\frac{5}{2},-17)\}\)
2. \(\left\{\begin{matrix}y=\frac{388}{143}-2x\\4x-6y=\frac{1192}{143}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-4}{11})\}\)
3. \(\left\{\begin{matrix}x+6y=\frac{21}{4}\\-4x=4y+4\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{69}{26}\\-2x-2y=\frac{9}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}3y=\frac{100}{57}+x\\-5x+3y=\frac{860}{57}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-10}{19})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{339}{55}+4x\\-x-2y=\frac{116}{55}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-5}{11})\}\)
7. \(\left\{\begin{matrix}2y=0-5x\\-x-y=\frac{27}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-9}{2})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-133}{20}-2x\\-3x-y=\frac{203}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{1}{20})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-33}{5}\\-4x+5y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},1)\}\)
10. \(\left\{\begin{matrix}2y=\frac{191}{104}+6x\\-x+6y=\frac{437}{104}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{11}{16})\}\)
11. \(\left\{\begin{matrix}y=\frac{136}{35}+2x\\2x+6y=\frac{-234}{35}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}2x-y=\frac{-307}{80}\\6x=4y+\frac{-219}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-9}{16})\}\)