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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-965}{112}-5x\\-x-3y=\frac{-59}{112}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-6y=-60\\-2x=-3y+57\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-29}{3}-5x\\-x-6y=\frac{-14}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-31}{5}\\-x=-2y+\frac{17}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=\frac{34}{117}\\x=y+\frac{-55}{117}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=-9\\5x=3y+\frac{-53}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+y=\frac{-119}{12}\\-3x=3y+\frac{29}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-1670}{323}+2x\\x-6y=\frac{-1426}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{199}{76}+4x\\x-2y=\frac{-13}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{97}{8}+6x\\x-6y=\frac{141}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-181}{15}\\x=6y+\frac{-202}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{398}{117}-2x\\-3x-y=\frac{-109}{39}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-965}{112}-5x\\-x-3y=\frac{-59}{112}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{15}{16})\}\)
2. \(\left\{\begin{matrix}x-6y=-60\\-2x=-3y+57\end{matrix}\right.\qquad V=\{(-18,7)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-29}{3}-5x\\-x-6y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},1)\}\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-31}{5}\\-x=-2y+\frac{17}{15}\end{matrix}\right.\qquad V=\{(1,\frac{16}{15})\}\)
5. \(\left\{\begin{matrix}2x-6y=\frac{34}{117}\\x=y+\frac{-55}{117}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-4}{13})\}\)
6. \(\left\{\begin{matrix}-x-2y=-9\\5x=3y+\frac{-53}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{11}{2})\}\)
7. \(\left\{\begin{matrix}3x+y=\frac{-119}{12}\\-3x=3y+\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-1670}{323}+2x\\x-6y=\frac{-1426}{323}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{14}{17})\}\)
9. \(\left\{\begin{matrix}3y=\frac{199}{76}+4x\\x-2y=\frac{-13}{38}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{97}{8}+6x\\x-6y=\frac{141}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-181}{15}\\x=6y+\frac{-202}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{13}{6})\}\)
12. \(\left\{\begin{matrix}4y=\frac{398}{117}-2x\\-3x-y=\frac{-109}{39}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{6}{13})\}\)