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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-115}{18}-5x\\6x-6y=\frac{193}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-33}{7}\\3x-5y=\frac{46}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{17}{21}+4x\\5x+2y=\frac{-157}{84}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-74}{117}\\6x+y=\frac{-490}{117}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{74}{17}\\-2x-y=\frac{37}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{418}{17}+x\\-4x-3y=\frac{1399}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-55}{39}-2x\\-6x+y=\frac{365}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-4y=\frac{17}{4}\\x-y=\frac{11}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-16}{3}+x\\2x-5y=\frac{-131}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{443}{14}\\6x+y=\frac{-102}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+5y=\frac{-1325}{88}\\-2x=-y+\frac{-193}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-6y=\frac{636}{7}\\4x=y+\frac{46}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-115}{18}-5x\\6x-6y=\frac{193}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{18},-10)\}\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-33}{7}\\3x-5y=\frac{46}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}-y=\frac{17}{21}+4x\\5x+2y=\frac{-157}{84}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{-8}{7})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-74}{117}\\6x+y=\frac{-490}{117}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{8}{9})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{74}{17}\\-2x-y=\frac{37}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},-3)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{418}{17}+x\\-4x-3y=\frac{1399}{17}\end{matrix}\right.\qquad V=\{(-20,\frac{-13}{17})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-55}{39}-2x\\-6x+y=\frac{365}{117}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}5x-4y=\frac{17}{4}\\x-y=\frac{11}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{13}{16})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-16}{3}+x\\2x-5y=\frac{-131}{6}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{443}{14}\\6x+y=\frac{-102}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},-9)\}\)
11. \(\left\{\begin{matrix}-5x+5y=\frac{-1325}{88}\\-2x=-y+\frac{-193}{44}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{-18}{11})\}\)
12. \(\left\{\begin{matrix}6x-6y=\frac{636}{7}\\4x=y+\frac{46}{7}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},-18)\}\)