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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=\frac{-125}{38}\\6x=5y+\frac{173}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-224}{13}+x\\-6x-5y=\frac{-1021}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-1193}{133}+5x\\-x-6y=\frac{-331}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+3y=\frac{9}{4}\\-6x=-y+\frac{-151}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-y=\frac{-59}{40}\\-5x=-3y+\frac{-3}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{15}{7}-4x\\x+y=\frac{19}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-y=\frac{57}{70}\\6x-4y=\frac{-246}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{41}{90}\\-5x=-y+\frac{-31}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-37}{8}\\-x-3y=\frac{29}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{109}{45}+x\\-2x+5y=\frac{-32}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-67}{5}\\x+y=\frac{64}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-34}{9}\\x=-y+\frac{-32}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=\frac{-125}{38}\\6x=5y+\frac{173}{38}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-4}{19})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-224}{13}+x\\-6x-5y=\frac{-1021}{13}\end{matrix}\right.\qquad V=\{(12,\frac{17}{13})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-1193}{133}+5x\\-x-6y=\frac{-331}{133}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{2}{19})\}\)
4. \(\left\{\begin{matrix}2x+3y=\frac{9}{4}\\-6x=-y+\frac{-151}{12}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{12})\}\)
5. \(\left\{\begin{matrix}-x-y=\frac{-59}{40}\\-5x=-3y+\frac{-3}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{7}{8})\}\)
6. \(\left\{\begin{matrix}6y=\frac{15}{7}-4x\\x+y=\frac{19}{42}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}-3x-y=\frac{57}{70}\\6x-4y=\frac{-246}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{9}{10})\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{41}{90}\\-5x=-y+\frac{-31}{18}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-2}{9})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-37}{8}\\-x-3y=\frac{29}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{8})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{109}{45}+x\\-2x+5y=\frac{-32}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-14}{15})\}\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-67}{5}\\x+y=\frac{64}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-34}{9}\\x=-y+\frac{-32}{9}\end{matrix}\right.\qquad V=\{(-2,\frac{-14}{9})\}\)