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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{17}{4}-3x\\4x+y=\frac{31}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-5y=\frac{-4}{15}\\4x-y=\frac{-62}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{7}{8}\\-6x+2y=\frac{-23}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=-81+6x\\x-3y=\frac{47}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-159}{17}\\5x+y=\frac{143}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{-13}{198}\\6x=-2y+\frac{-809}{99}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{56}{9}\\x-3y=\frac{50}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-317}{8}+3x\\x+6y=\frac{-385}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-182}{57}\\x-6y=\frac{157}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-167}{56}\\6x=5y+\frac{739}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-3y=\frac{148}{35}\\-x+3y=\frac{32}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{147}{152}\\-x+3y=\frac{579}{304}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{17}{4}-3x\\4x+y=\frac{31}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}3x-5y=\frac{-4}{15}\\4x-y=\frac{-62}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{7}{8}\\-6x+2y=\frac{-23}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-6y=-81+6x\\x-3y=\frac{47}{2}\end{matrix}\right.\qquad V=\{(16,\frac{-5}{2})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-159}{17}\\5x+y=\frac{143}{17}\end{matrix}\right.\qquad V=\{(\frac{15}{17},4)\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{-13}{198}\\6x=-2y+\frac{-809}{99}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{5}{18})\}\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{56}{9}\\x-3y=\frac{50}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},-2)\}\)
8. \(\left\{\begin{matrix}5y=\frac{-317}{8}+3x\\x+6y=\frac{-385}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},-8)\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-182}{57}\\x-6y=\frac{157}{19}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{-4}{3})\}\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-167}{56}\\6x=5y+\frac{739}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-17}{8})\}\)
11. \(\left\{\begin{matrix}5x-3y=\frac{148}{35}\\-x+3y=\frac{32}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{11}{15})\}\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{147}{152}\\-x+3y=\frac{579}{304}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{18}{19})\}\)