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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{228}{17}\\-4x=-y+\frac{-171}{34}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{-170}{21}\\x=5y+\frac{337}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{408}{35}\\x+y=\frac{102}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-307}{17}+6x\\-4x-y=\frac{-713}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{29}{48}+x\\2x+2y=\frac{-29}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-88}{9}+6x\\-x+4y=\frac{-13}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=-7+6x\\-5x-y=\frac{-71}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-185}{17}+5x\\5x-y=\frac{215}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-y=\frac{-7}{6}\\-5x=-4y+\frac{1}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{109}{143}\\5x=6y+\frac{-193}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{43}{12}\\x=2y+\frac{31}{60}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{-216}{35}\\x+5y=\frac{-328}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{228}{17}\\-4x=-y+\frac{-171}{34}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{-170}{21}\\x=5y+\frac{337}{42}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{408}{35}\\x+y=\frac{102}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{12}{7})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-307}{17}+6x\\-4x-y=\frac{-713}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{11}{17})\}\)
5. \(\left\{\begin{matrix}-y=\frac{29}{48}+x\\2x+2y=\frac{-29}{24}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{13}{16})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-88}{9}+6x\\-x+4y=\frac{-13}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{1}{18})\}\)
7. \(\left\{\begin{matrix}-5y=-7+6x\\-5x-y=\frac{-71}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-185}{17}+5x\\5x-y=\frac{215}{51}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}-2x-y=\frac{-7}{6}\\-5x=-4y+\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{109}{143}\\5x=6y+\frac{-193}{143}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-2}{13})\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{43}{12}\\x=2y+\frac{31}{60}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{1}{6})\}\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{-216}{35}\\x+5y=\frac{-328}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-12}{7})\}\)