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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-9}{5}+2x\\x+6y=\frac{-21}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-22}{21}+3x\\x-3y=\frac{1}{63}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{532}{99}\\-4x=y+\frac{-448}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-143}{20}\\x-3y=\frac{-347}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{4}{3}-4x\\x-2y=\frac{5}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{796}{133}+2x\\-x-2y=\frac{-457}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-323}{56}\\-3x=-2y+\frac{-85}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{34}{9}\\-4x-2y=\frac{-14}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+2y=\frac{-1526}{187}\\-2x-y=\frac{675}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{61}{4}\\-x=3y+\frac{-53}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+5y=\frac{-5}{24}\\-x+2y=\frac{31}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-191}{17}+5x\\6x-y=\frac{130}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-9}{5}+2x\\x+6y=\frac{-21}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-2}{5})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-22}{21}+3x\\x-3y=\frac{1}{63}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{532}{99}\\-4x=y+\frac{-448}{99}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{8}{9})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-143}{20}\\x-3y=\frac{-347}{60}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{7}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{4}{3}-4x\\x-2y=\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},-1)\}\)
6. \(\left\{\begin{matrix}5y=\frac{796}{133}+2x\\-x-2y=\frac{-457}{133}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-323}{56}\\-3x=-2y+\frac{-85}{56}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{13}{14})\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{34}{9}\\-4x-2y=\frac{-14}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}5x+2y=\frac{-1526}{187}\\-2x-y=\frac{675}{187}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-19}{11})\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{61}{4}\\-x=3y+\frac{-53}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}3x+5y=\frac{-5}{24}\\-x+2y=\frac{31}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-191}{17}+5x\\6x-y=\frac{130}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{4}{3})\}\)