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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{41}{3}+5x\\5x+y=\frac{-55}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+5y=-4\\-6x=-y+\frac{31}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-2y=\frac{-496}{171}\\5x+2y=\frac{712}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+2y=-1\\6x+y=\frac{37}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{8}{45}\\x=-5y+\frac{-46}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{1}{2}\\5x=-y+\frac{-281}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-15}{2}\\5x-y=\frac{29}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+y=\frac{99}{38}\\-5x=-2y+\frac{597}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-18}{5}\\-5x-6y=\frac{-521}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-4y=\frac{4}{7}\\-x=5y+\frac{39}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{49}{20}+4x\\-x+y=\frac{133}{80}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{661}{176}\\-x=5y+\frac{-1141}{176}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{41}{3}+5x\\5x+y=\frac{-55}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{17}{9})\}\)
2. \(\left\{\begin{matrix}5x+5y=-4\\-6x=-y+\frac{31}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{5})\}\)
3. \(\left\{\begin{matrix}x-2y=\frac{-496}{171}\\5x+2y=\frac{712}{171}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{14}{9})\}\)
4. \(\left\{\begin{matrix}5x+2y=-1\\6x+y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-7}{2})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{8}{45}\\x=-5y+\frac{-46}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-19}{15})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{1}{2}\\5x=-y+\frac{-281}{60}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{-7}{20})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-15}{2}\\5x-y=\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},-1)\}\)
8. \(\left\{\begin{matrix}-x+y=\frac{99}{38}\\-5x=-2y+\frac{597}{38}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-17}{19})\}\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-18}{5}\\-5x-6y=\frac{-521}{60}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{11}{10})\}\)
10. \(\left\{\begin{matrix}5x-4y=\frac{4}{7}\\-x=5y+\frac{39}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{49}{20}+4x\\-x+y=\frac{133}{80}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{661}{176}\\-x=5y+\frac{-1141}{176}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{19}{16})\}\)