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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{-7}{2}\\-x=y+\frac{3}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-196}{15}+2x\\-4x-y=\frac{-98}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+y=-4\\6x=4y+\frac{-13}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-538}{5}\\2x=-y+\frac{541}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{144}{11}\\6x-y=\frac{-64}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-13}{4}\\6x=-y+\frac{213}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-280}{9}+2x\\-x+4y=\frac{250}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+3y=\frac{1}{2}\\2x=y+\frac{139}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-69}{77}+6x\\-6x-y=\frac{43}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-10}{3}\\-x-y=\frac{34}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{69}{10}+2x\\3x+y=\frac{-8}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{54}{5}-6x\\x+y=\frac{11}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{-7}{2}\\-x=y+\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-196}{15}+2x\\-4x-y=\frac{-98}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-14}{5})\}\)
3. \(\left\{\begin{matrix}4x+y=-4\\6x=4y+\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-538}{5}\\2x=-y+\frac{541}{15}\end{matrix}\right.\qquad V=\{(18,\frac{1}{15})\}\)
5. \(\left\{\begin{matrix}-6x+5y=\frac{144}{11}\\6x-y=\frac{-64}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{20}{11})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-13}{4}\\6x=-y+\frac{213}{40}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-3}{8})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-280}{9}+2x\\-x+4y=\frac{250}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{20}{3})\}\)
8. \(\left\{\begin{matrix}5x+3y=\frac{1}{2}\\2x=y+\frac{139}{90}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-11}{18})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-69}{77}+6x\\-6x-y=\frac{43}{77}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{8}{11})\}\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-10}{3}\\-x-y=\frac{34}{15}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{15})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{69}{10}+2x\\3x+y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{54}{5}-6x\\x+y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(2,\frac{1}{5})\}\)