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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{233}{10}+3x\\-2x+y=\frac{97}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-5y=\frac{284}{35}\\x=-2y+\frac{-52}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{-23}{22}\\4x=-y+\frac{95}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{24}{5}\\-2x+y=\frac{43}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{33}{5}\\x+4y=\frac{44}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{233}{112}-4x\\-3x+y=\frac{-75}{112}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-73}{90}+2x\\-x-5y=\frac{-49}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-193}{39}-x\\4x-4y=\frac{-1096}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{112}{5}\\-2x=-4y+\frac{-14}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+y=\frac{-122}{17}\\6x+5y=\frac{-596}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-89}{5}\\-x=6y+\frac{-62}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-1004}{153}\\3x=-y+\frac{154}{153}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{233}{10}+3x\\-2x+y=\frac{97}{10}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}3x-5y=\frac{284}{35}\\x=-2y+\frac{-52}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-8}{7})\}\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{-23}{22}\\4x=-y+\frac{95}{22}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{9}{11})\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{24}{5}\\-2x+y=\frac{43}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},1)\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{33}{5}\\x+4y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(2,\frac{17}{10})\}\)
6. \(\left\{\begin{matrix}5y=\frac{233}{112}-4x\\-3x+y=\frac{-75}{112}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{3}{16})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-73}{90}+2x\\-x-5y=\frac{-49}{90}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{1}{18})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-193}{39}-x\\4x-4y=\frac{-1096}{39}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{9}{13})\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{112}{5}\\-2x=-4y+\frac{-14}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-17}{5})\}\)
10. \(\left\{\begin{matrix}x+y=\frac{-122}{17}\\6x+5y=\frac{-596}{17}\end{matrix}\right.\qquad V=\{(\frac{14}{17},-8)\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-89}{5}\\-x=6y+\frac{-62}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{17}{5})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{-1004}{153}\\3x=-y+\frac{154}{153}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-10}{9})\}\)