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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{219}{11}\\x-5y=\frac{871}{44}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-69}{14}\\x=4y+\frac{-113}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{23}{60}\\-2x=-3y+\frac{-27}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{128}{3}\\-5x=-y+\frac{-104}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{49}{6}\\6x+5y=\frac{133}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{133}{20}\\-5x-y=\frac{-73}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+y=\frac{-911}{156}\\-3x=3y+\frac{335}{52}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{93}{2}\\-2x=y+\frac{109}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-90}{11}-6x\\-5x-y=\frac{117}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-3}{2}\\-x+y=1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-29}{6}\\-6x=2y+\frac{95}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-7}{20}-6x\\5x-6y=\frac{37}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{219}{11}\\x-5y=\frac{871}{44}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-17}{4})\}\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-69}{14}\\x=4y+\frac{-113}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{15}{7})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{23}{60}\\-2x=-3y+\frac{-27}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-4}{15})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{128}{3}\\-5x=-y+\frac{-104}{3}\end{matrix}\right.\qquad V=\{(8,\frac{16}{3})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{49}{6}\\6x+5y=\frac{133}{6}\end{matrix}\right.\qquad V=\{(3,\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{133}{20}\\-5x-y=\frac{-73}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-3}{5})\}\)
7. \(\left\{\begin{matrix}4x+y=\frac{-911}{156}\\-3x=3y+\frac{335}{52}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-11}{12})\}\)
8. \(\left\{\begin{matrix}-5x-3y=\frac{93}{2}\\-2x=y+\frac{109}{6}\end{matrix}\right.\qquad V=\{(-8,\frac{-13}{6})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-90}{11}-6x\\-5x-y=\frac{117}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{11})\}\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-3}{2}\\-x+y=1\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-29}{6}\\-6x=2y+\frac{95}{3}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-7}{3})\}\)
12. \(\left\{\begin{matrix}y=\frac{-7}{20}-6x\\5x-6y=\frac{37}{2}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-11}{4})\}\)