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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+6y=\frac{-57}{2}\\-5x=y+\frac{3}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-y=\frac{-47}{6}\\-4x=6y+\frac{-29}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-598}{77}\\5x=y+\frac{-698}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-83}{18}\\-x-5y=\frac{-121}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-999}{20}-3x\\-x+y=\frac{173}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{708}{77}\\4x=y+\frac{-669}{154}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{47}{6}-5x\\-2x+y=\frac{-51}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{1485}{221}\\x+y=\frac{-110}{221}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-223}{9}-3x\\4x+4y=\frac{-332}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{5}{2}\\x=y+\frac{-7}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{21}{5}-4x\\-x+3y=\frac{-33}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-50}{9}\\x+2y=\frac{101}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+6y=\frac{-57}{2}\\-5x=y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}-6x-y=\frac{-47}{6}\\-4x=6y+\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-598}{77}\\5x=y+\frac{-698}{77}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{3}{7})\}\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-83}{18}\\-x-5y=\frac{-121}{36}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{13}{18})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-999}{20}-3x\\-x+y=\frac{173}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},8)\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{708}{77}\\4x=y+\frac{-669}{154}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{15}{14})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{47}{6}-5x\\-2x+y=\frac{-51}{20}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-5}{12})\}\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{1485}{221}\\x+y=\frac{-110}{221}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{5}{13})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-223}{9}-3x\\4x+4y=\frac{-332}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-13}{18})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{5}{2}\\x=y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},2)\}\)
11. \(\left\{\begin{matrix}3y=\frac{21}{5}-4x\\-x+3y=\frac{-33}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-50}{9}\\x+2y=\frac{101}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{17}{6})\}\)