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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-3y=\frac{63}{20}\\-x=2y+\frac{99}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=6\\5x=y+\frac{13}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{-16}{7}\\x+y=\frac{4}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-1027}{110}\\5x-6y=\frac{305}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=3-5x\\-x+y=\frac{-3}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{32}{5}-4x\\x-6y=\frac{34}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-247}{60}\\-2x=2y+\frac{-29}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-51}{20}+6x\\-3x+5y=\frac{7}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-15}{7}\\-5x-2y=\frac{-9}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{73}{15}\\2x+6y=\frac{122}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{73}{10}\\x-y=\frac{-41}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-32}{13}\\-x+5y=\frac{-8}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-3y=\frac{63}{20}\\-x=2y+\frac{99}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},-2)\}\)
2. \(\left\{\begin{matrix}3x-2y=6\\5x=y+\frac{13}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{-16}{7}\\x+y=\frac{4}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{7})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-1027}{110}\\5x-6y=\frac{305}{22}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-19}{11})\}\)
5. \(\left\{\begin{matrix}-6y=3-5x\\-x+y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(6,\frac{9}{2})\}\)
6. \(\left\{\begin{matrix}2y=\frac{32}{5}-4x\\x-6y=\frac{34}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-247}{60}\\-2x=2y+\frac{-29}{90}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-9}{20})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-51}{20}+6x\\-3x+5y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{11}{20})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-15}{7}\\-5x-2y=\frac{-9}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-13}{7})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{73}{15}\\2x+6y=\frac{122}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{73}{10}\\x-y=\frac{-41}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{10},5)\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-32}{13}\\-x+5y=\frac{-8}{13}\end{matrix}\right.\qquad V=\{(-4,\frac{-12}{13})\}\)