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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+5y=\frac{45}{8}\\-x-5y=\frac{-61}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-128}{7}\\x+5y=\frac{473}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{17}{12}-4x\\x+3y=\frac{-17}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-164}{17}+5x\\-x+y=\frac{-26}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{37}{30}\\-3x=y+\frac{-89}{180}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+3y=0\\x-y=\frac{2}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-212}{51}-x\\-3x+3y=\frac{8}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{77}{4}+3x\\-4x+y=\frac{62}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{19}{4}\\-3x=y+\frac{151}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{125}{19}\\x-5y=\frac{105}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=11\\x=-6y+\frac{-15}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-250}{9}+4x\\-5x+y=\frac{-631}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+5y=\frac{45}{8}\\-x-5y=\frac{-61}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{13}{8})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{-128}{7}\\x+5y=\frac{473}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},14)\}\)
3. \(\left\{\begin{matrix}-5y=\frac{17}{12}-4x\\x+3y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{12})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-164}{17}+5x\\-x+y=\frac{-26}{17}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},-2)\}\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{37}{30}\\-3x=y+\frac{-89}{180}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-5}{9})\}\)
6. \(\left\{\begin{matrix}-5x+3y=0\\x-y=\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},-1)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-212}{51}-x\\-3x+3y=\frac{8}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}3y=\frac{77}{4}+3x\\-4x+y=\frac{62}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{19}{4}\\-3x=y+\frac{151}{12}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-13}{3})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{125}{19}\\x-5y=\frac{105}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},-1)\}\)
11. \(\left\{\begin{matrix}5x-4y=11\\x=-6y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-7}{8})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-250}{9}+4x\\-5x+y=\frac{-631}{18}\end{matrix}\right.\qquad V=\{(7,\frac{-1}{18})\}\)