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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-3y=\frac{-61}{70}\\-2x=-2y+\frac{39}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-431}{44}-5x\\6x+3y=\frac{-201}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-3y=\frac{-83}{15}\\-x=y+\frac{-133}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+y=\frac{199}{10}\\6x=5y+\frac{71}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-444}{85}+4x\\2x+y=\frac{162}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-18}{7}\\x-4y=\frac{46}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+6y=\frac{-307}{14}\\-x=-4y+\frac{-785}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-13}{2}\\-x=5y+\frac{-35}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{259}{85}\\x=-3y+\frac{447}{170}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{42}{5}+2x\\-5x-y=\frac{39}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+3y=\frac{27}{8}\\-x-3y=\frac{-29}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{601}{255}+2x\\-5x-y=\frac{320}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-3y=\frac{-61}{70}\\-2x=-2y+\frac{39}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{5}{14})\}\)
2. \(\left\{\begin{matrix}y=\frac{-431}{44}-5x\\6x+3y=\frac{-201}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{16}{11})\}\)
3. \(\left\{\begin{matrix}3x-3y=\frac{-83}{15}\\-x=y+\frac{-133}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{12}{5})\}\)
4. \(\left\{\begin{matrix}6x+y=\frac{199}{10}\\6x=5y+\frac{71}{2}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-13}{5})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-444}{85}+4x\\2x+y=\frac{162}{85}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{12}{17})\}\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-18}{7}\\x-4y=\frac{46}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-5}{7})\}\)
7. \(\left\{\begin{matrix}3x+6y=\frac{-307}{14}\\-x=-4y+\frac{-785}{42}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-13}{3})\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-13}{2}\\-x=5y+\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{6},1)\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{259}{85}\\x=-3y+\frac{447}{170}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{42}{5}+2x\\-5x-y=\frac{39}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}3x+3y=\frac{27}{8}\\-x-3y=\frac{-29}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{601}{255}+2x\\-5x-y=\frac{320}{51}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{1}{17})\}\)