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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+y=\frac{31}{60}\\6x=-2y+\frac{17}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+y=\frac{13}{7}\\5x=4y+\frac{67}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=\frac{15}{8}\\-x+5y=\frac{15}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{3}{4}+x\\-3x+6y=\frac{5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-3}{2}-3x\\-x+3y=\frac{17}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{29}{10}\\-4x+6y=\frac{-24}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-35}{4}+2x\\-x+2y=\frac{-11}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-5y=\frac{-79}{72}\\-3x=-y+\frac{-49}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{11}{4}\\6x=y+\frac{59}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-4y=\frac{-202}{45}\\-3x-y=\frac{152}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{69}{13}\\-x-5y=\frac{-62}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{37}{77}+4x\\2x+y=\frac{-71}{77}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+y=\frac{31}{60}\\6x=-2y+\frac{17}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{20})\}\)
2. \(\left\{\begin{matrix}3x+y=\frac{13}{7}\\5x=4y+\frac{67}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-8}{7})\}\)
3. \(\left\{\begin{matrix}4x-3y=\frac{15}{8}\\-x+5y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{15}{8})\}\)
4. \(\left\{\begin{matrix}3y=\frac{3}{4}+x\\-3x+6y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{12})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-3}{2}-3x\\-x+3y=\frac{17}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{29}{10}\\-4x+6y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-35}{4}+2x\\-x+2y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}3x-5y=\frac{-79}{72}\\-3x=-y+\frac{-49}{72}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{4}{9})\}\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{11}{4}\\6x=y+\frac{59}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{20},-2)\}\)
10. \(\left\{\begin{matrix}3x-4y=\frac{-202}{45}\\-3x-y=\frac{152}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{2}{9})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{69}{13}\\-x-5y=\frac{-62}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{15}{13})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{37}{77}+4x\\2x+y=\frac{-71}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{15}{11})\}\)