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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=\frac{333}{28}\\-3x+y=\frac{45}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{-1}{4}\\2x=y+\frac{15}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-3y=\frac{27}{22}\\-3x=y+\frac{-41}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-212}{153}\\6x=-5y+\frac{-335}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{191}{30}\\-x=-y+\frac{-37}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-43}{34}\\-x=3y+\frac{107}{102}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{3}{5}\\x+6y=\frac{21}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-55}{21}-5x\\-x-3y=\frac{-38}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{6}{11}\\x-6y=\frac{-153}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-3y=\frac{69}{5}\\6x=-2y+\frac{-36}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-2y=\frac{47}{4}\\-x+6y=-14\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+4y=\frac{7}{60}\\x=y+\frac{-7}{240}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=\frac{333}{28}\\-3x+y=\frac{45}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{9}{4})\}\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{-1}{4}\\2x=y+\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{4},-2)\}\)
3. \(\left\{\begin{matrix}6x-3y=\frac{27}{22}\\-3x=y+\frac{-41}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-212}{153}\\6x=-5y+\frac{-335}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-11}{17})\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{191}{30}\\-x=-y+\frac{-37}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-19}{20})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-43}{34}\\-x=3y+\frac{107}{102}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-5}{17})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{3}{5}\\x+6y=\frac{21}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-55}{21}-5x\\-x-3y=\frac{-38}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{5}{9})\}\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{6}{11}\\x-6y=\frac{-153}{55}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{3}{5})\}\)
10. \(\left\{\begin{matrix}x-3y=\frac{69}{5}\\6x=-2y+\frac{-36}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}2x-2y=\frac{47}{4}\\-x+6y=-14\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-13}{8})\}\)
12. \(\left\{\begin{matrix}-4x+4y=\frac{7}{60}\\x=y+\frac{-7}{240}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-7}{16})\}\)