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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-163}{78}+4x\\x+3y=\frac{-73}{78}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-169}{14}\\5x+y=\frac{-229}{70}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-73}{5}\\3x=2y+\frac{-31}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-157}{30}-x\\-4x-2y=\frac{118}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{113}{10}\\-x-y=\frac{-9}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{79}{4}-2x\\4x+y=\frac{-49}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{-373}{90}\\x+y=\frac{67}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-5y=\frac{19}{15}\\-5x+4y=\frac{31}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{-137}{40}\\3x+y=\frac{-73}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-1441}{190}\\-x=-y+\frac{107}{190}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-163}{35}\\-x-6y=\frac{-313}{105}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-6y=\frac{-238}{3}\\x=y+\frac{-58}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-163}{78}+4x\\x+3y=\frac{-73}{78}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{-7}{18})\}\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-169}{14}\\5x+y=\frac{-229}{70}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-11}{5})\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-73}{5}\\3x=2y+\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{5}{2})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-157}{30}-x\\-4x-2y=\frac{118}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-14}{15})\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{113}{10}\\-x-y=\frac{-9}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},2)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{79}{4}-2x\\4x+y=\frac{-49}{6}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-11}{3})\}\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{-373}{90}\\x+y=\frac{67}{45}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{7}{18})\}\)
8. \(\left\{\begin{matrix}x-5y=\frac{19}{15}\\-5x+4y=\frac{31}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{-137}{40}\\3x+y=\frac{-73}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{1}{20})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-1441}{190}\\-x=-y+\frac{107}{190}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-14}{19})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-163}{35}\\-x-6y=\frac{-313}{105}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{2}{7})\}\)
12. \(\left\{\begin{matrix}-5x-6y=\frac{-238}{3}\\x=y+\frac{-58}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},16)\}\)