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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+3y=\frac{466}{153}\\-4x+y=\frac{-1114}{153}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-6y=\frac{79}{15}\\-3x=2y+\frac{-1}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-205}{17}+4x\\x+2y=\frac{-229}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=\frac{-44}{5}\\x+3y=\frac{22}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+y=\frac{-293}{20}\\-6x-4y=\frac{153}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{105}{8}-6x\\x-3y=\frac{25}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{77}{4}\\x=4y+\frac{331}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-1141}{240}\\-x-4y=\frac{91}{60}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{455}{11}\\-x=-y+\frac{-109}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-42}{209}\\-6x-6y=\frac{-582}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{117}{35}\\4x=y+\frac{11}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-269}{3}\\-3x-y=\frac{-110}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+3y=\frac{466}{153}\\-4x+y=\frac{-1114}{153}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-18}{17})\}\)
2. \(\left\{\begin{matrix}-x-6y=\frac{79}{15}\\-3x=2y+\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{15},-1)\}\)
3. \(\left\{\begin{matrix}4y=\frac{-205}{17}+4x\\x+2y=\frac{-229}{34}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-13}{4})\}\)
4. \(\left\{\begin{matrix}5x+4y=\frac{-44}{5}\\x+3y=\frac{22}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{14}{5})\}\)
5. \(\left\{\begin{matrix}3x+y=\frac{-293}{20}\\-6x-4y=\frac{153}{5}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-13}{20})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{105}{8}-6x\\x-3y=\frac{25}{16}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{5}{16})\}\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{77}{4}\\x=4y+\frac{331}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-17}{4})\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-1141}{240}\\-x-4y=\frac{91}{60}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-1}{16})\}\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{455}{11}\\-x=-y+\frac{-109}{11}\end{matrix}\right.\qquad V=\{(\frac{10}{11},-9)\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-42}{209}\\-6x-6y=\frac{-582}{209}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-5}{19})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{117}{35}\\4x=y+\frac{11}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{7}{5})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-269}{3}\\-3x-y=\frac{-110}{3}\end{matrix}\right.\qquad V=\{(13,\frac{-7}{3})\}\)