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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-y=-14\\-2x=-5y+4\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{87}{16}-5x\\-6x-2y=\frac{-49}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-45}{14}\\-x-5y=\frac{135}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{-470}{57}\\x=2y+\frac{-112}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{293}{56}\\-5x=-y+\frac{453}{112}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-1952}{285}\\-x=2y+\frac{811}{285}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{29}{7}+3x\\-3x+y=\frac{37}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-193}{42}\\-6x-y=\frac{-493}{84}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{291}{44}\\2x=-3y+\frac{167}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-71}{20}\\-4x+4y=\frac{-31}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+y=\frac{46}{15}\\-3x-2y=\frac{131}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+3y=\frac{170}{3}\\4x-y=\frac{-110}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-y=-14\\-2x=-5y+4\end{matrix}\right.\qquad V=\{(3,2)\}\)
2. \(\left\{\begin{matrix}y=\frac{87}{16}-5x\\-6x-2y=\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-45}{14}\\-x-5y=\frac{135}{28}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{-470}{57}\\x=2y+\frac{-112}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{6}{19})\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{293}{56}\\-5x=-y+\frac{453}{112}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{19}{16})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-1952}{285}\\-x=2y+\frac{811}{285}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{-17}{15})\}\)
7. \(\left\{\begin{matrix}5y=\frac{29}{7}+3x\\-3x+y=\frac{37}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-2}{7})\}\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-193}{42}\\-6x-y=\frac{-493}{84}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{19}{12})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{291}{44}\\2x=-3y+\frac{167}{22}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{15}{11})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-71}{20}\\-4x+4y=\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{20},-1)\}\)
11. \(\left\{\begin{matrix}-2x+y=\frac{46}{15}\\-3x-2y=\frac{131}{30}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{15})\}\)
12. \(\left\{\begin{matrix}-4x+3y=\frac{170}{3}\\4x-y=\frac{-110}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},10)\}\)