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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-237}{34}-2x\\x+2y=\frac{201}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{709}{130}-x\\5x-2y=\frac{-27}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{161}{171}\\-2x+5y=\frac{-107}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-48}{55}-x\\3x+4y=\frac{-177}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-52}{15}\\x=2y+\frac{-2}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-172}{5}\\5x=y+\frac{-8}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+2y=\frac{-77}{9}\\-3x-3y=\frac{-83}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-1068}{323}+6x\\-x+6y=\frac{-1300}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{241}{12}-3x\\6x-2y=\frac{263}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+4y=\frac{-123}{11}\\3x+y=\frac{-213}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{380}{119}\\x-4y=\frac{286}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{788}{221}\\-2x=y+\frac{-275}{221}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-237}{34}-2x\\x+2y=\frac{201}{85}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{13}{10})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{709}{130}-x\\5x-2y=\frac{-27}{26}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-16}{13})\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{161}{171}\\-2x+5y=\frac{-107}{171}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{1}{19})\}\)
4. \(\left\{\begin{matrix}y=\frac{-48}{55}-x\\3x+4y=\frac{-177}{55}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-52}{15}\\x=2y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-7}{15})\}\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-172}{5}\\5x=y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-19}{3})\}\)
7. \(\left\{\begin{matrix}-x+2y=\frac{-77}{9}\\-3x-3y=\frac{-83}{3}\end{matrix}\right.\qquad V=\{(9,\frac{2}{9})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-1068}{323}+6x\\-x+6y=\frac{-1300}{323}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{-12}{19})\}\)
9. \(\left\{\begin{matrix}y=\frac{241}{12}-3x\\6x-2y=\frac{263}{6}\end{matrix}\right.\qquad V=\{(7,\frac{-11}{12})\}\)
10. \(\left\{\begin{matrix}6x+4y=\frac{-123}{11}\\3x+y=\frac{-213}{44}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{380}{119}\\x-4y=\frac{286}{119}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-4}{7})\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{788}{221}\\-2x=y+\frac{-275}{221}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{7}{13})\}\)