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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{8}{19}-4x\\-6x+4y=\frac{-145}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-37}{7}-2x\\-x+6y=\frac{264}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=-9\\-2x-5y=-31\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{1}{20}+2x\\-3x+y=\frac{-119}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+4y=\frac{58}{91}\\-2x-y=\frac{5}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-5y=\frac{-155}{12}\\x-y=\frac{-31}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{13}{16}-x\\-4x+3y=\frac{119}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-29}{8}\\-2x+y=\frac{19}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-348}{77}\\2x=2y+\frac{-578}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+4y=\frac{37}{24}\\-2x=3y+\frac{5}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+3y=-1\\-x-y=\frac{7}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{148}{105}\\6x-y=\frac{-442}{105}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{8}{19}-4x\\-6x+4y=\frac{-145}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-11}{19})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-37}{7}-2x\\-x+6y=\frac{264}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{7}{5})\}\)
3. \(\left\{\begin{matrix}-6x-y=-9\\-2x-5y=-31\end{matrix}\right.\qquad V=\{(\frac{1}{2},6)\}\)
4. \(\left\{\begin{matrix}4y=\frac{1}{20}+2x\\-3x+y=\frac{-119}{80}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{5}{16})\}\)
5. \(\left\{\begin{matrix}2x+4y=\frac{58}{91}\\-2x-y=\frac{5}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{3}{13})\}\)
6. \(\left\{\begin{matrix}5x-5y=\frac{-155}{12}\\x-y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{12})\}\)
7. \(\left\{\begin{matrix}5y=\frac{13}{16}-x\\-4x+3y=\frac{119}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-29}{8}\\-2x+y=\frac{19}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},1)\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-348}{77}\\2x=2y+\frac{-578}{77}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{13}{11})\}\)
10. \(\left\{\begin{matrix}-x+4y=\frac{37}{24}\\-2x=3y+\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-6x+3y=-1\\-x-y=\frac{7}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{148}{105}\\6x-y=\frac{-442}{105}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-14}{15})\}\)