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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{11}{48}+3x\\-4x-y=\frac{49}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-10}{7}-4x\\-2x+y=\frac{-53}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{19}{5}\\-x-y=\frac{9}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-5y=\frac{7}{8}\\-x-5y=\frac{-77}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{2680}{187}+5x\\x-5y=\frac{828}{187}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{166}{19}-4x\\4x+y=\frac{-167}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-312}{187}+4x\\6x+y=\frac{-1079}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{86}{21}\\-4x-4y=\frac{-76}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=\frac{1964}{323}\\3x=2y+\frac{1172}{323}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+5y=\frac{-27}{7}\\2x+4y=\frac{-33}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-23}{3}-3x\\x+2y=\frac{58}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{347}{28}\\-6x+y=\frac{-157}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{11}{48}+3x\\-4x-y=\frac{49}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-10}{7}-4x\\-2x+y=\frac{-53}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-9}{7})\}\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{19}{5}\\-x-y=\frac{9}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{10},-2)\}\)
4. \(\left\{\begin{matrix}6x-5y=\frac{7}{8}\\-x-5y=\frac{-77}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{13}{8})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{2680}{187}+5x\\x-5y=\frac{828}{187}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-20}{17})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{166}{19}-4x\\4x+y=\frac{-167}{57}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-5}{3})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-312}{187}+4x\\6x+y=\frac{-1079}{187}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-13}{11})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{86}{21}\\-4x-4y=\frac{-76}{21}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}6x+y=\frac{1964}{323}\\3x=2y+\frac{1172}{323}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-4}{17})\}\)
10. \(\left\{\begin{matrix}x+5y=\frac{-27}{7}\\2x+4y=\frac{-33}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-23}{3}-3x\\x+2y=\frac{58}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},3)\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{347}{28}\\-6x+y=\frac{-157}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-13}{7})\}\)