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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-41}{20}+6x\\x+4y=\frac{307}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{3}{2}+3x\\-5x+y=\frac{43}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=\frac{-28}{3}\\-x=y+\frac{-14}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-94}{15}-4x\\-x+3y=\frac{11}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{255}{112}\\-x-4y=\frac{31}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+2y=11\\-4x-5y=-41\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{89}{4}\\-3x+4y=6\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{29}{4}\\-x=4y+\frac{33}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{414}{35}\\x=-5y+\frac{963}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-251}{45}-6x\\-x-4y=\frac{-313}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-83}{68}-x\\-5x-5y=\frac{415}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{28}{3}\\-x-y=\frac{28}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-41}{20}+6x\\x+4y=\frac{307}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{11}{5})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{3}{2}+3x\\-5x+y=\frac{43}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{4})\}\)
3. \(\left\{\begin{matrix}4x-3y=\frac{-28}{3}\\-x=y+\frac{-14}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{20}{9})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-94}{15}-4x\\-x+3y=\frac{11}{30}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-3}{10})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{255}{112}\\-x-4y=\frac{31}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-5}{16})\}\)
6. \(\left\{\begin{matrix}x+2y=11\\-4x-5y=-41\end{matrix}\right.\qquad V=\{(9,1)\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{89}{4}\\-3x+4y=6\end{matrix}\right.\qquad V=\{(-5,\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{29}{4}\\-x=4y+\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-2)\}\)
9. \(\left\{\begin{matrix}-4x+6y=\frac{414}{35}\\x=-5y+\frac{963}{70}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{18}{7})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-251}{45}-6x\\-x-4y=\frac{-313}{90}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{17}{18})\}\)
11. \(\left\{\begin{matrix}y=\frac{-83}{68}-x\\-5x-5y=\frac{415}{68}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-8}{17})\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{28}{3}\\-x-y=\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-8}{15})\}\)