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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=-6+4x\\x-y=1\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=\frac{-1317}{266}\\-4x-2y=\frac{561}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-43}{7}+2x\\-6x-y=\frac{-10}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+5y=\frac{107}{28}\\-4x=-2y+\frac{-223}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-223}{90}\\-6x-y=\frac{-77}{90}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{70}{3}+6x\\5x+y=\frac{-65}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-y=\frac{323}{18}\\-2x-2y=\frac{-55}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-249}{119}+x\\-6x+3y=\frac{-465}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+6y=\frac{167}{90}\\2x-y=\frac{131}{180}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=-4\\4x+y=3\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{11}{8}-6x\\4x+5y=\frac{61}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{4}{3}-4x\\-x+5y=\frac{32}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=-6+4x\\x-y=1\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}5x+y=\frac{-1317}{266}\\-4x-2y=\frac{561}{133}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-3}{14})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-43}{7}+2x\\-6x-y=\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},1)\}\)
4. \(\left\{\begin{matrix}x+5y=\frac{107}{28}\\-4x=-2y+\frac{-223}{70}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-223}{90}\\-6x-y=\frac{-77}{90}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{5}{9})\}\)
6. \(\left\{\begin{matrix}5y=\frac{70}{3}+6x\\5x+y=\frac{-65}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}6x-y=\frac{323}{18}\\-2x-2y=\frac{-55}{9}\end{matrix}\right.\qquad V=\{(3,\frac{1}{18})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-249}{119}+x\\-6x+3y=\frac{-465}{119}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{7}{17})\}\)
9. \(\left\{\begin{matrix}4x+6y=\frac{167}{90}\\2x-y=\frac{131}{180}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{1}{20})\}\)
10. \(\left\{\begin{matrix}2x+6y=-4\\4x+y=3\end{matrix}\right.\qquad V=\{(1,-1)\}\)
11. \(\left\{\begin{matrix}y=\frac{11}{8}-6x\\4x+5y=\frac{61}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{4}{3}-4x\\-x+5y=\frac{32}{9}\end{matrix}\right.\qquad V=\{(2,\frac{10}{9})\}\)