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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-5y=\frac{557}{65}\\4x+2y=\frac{578}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-11}{16}\\-2x-6y=\frac{-47}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-822}{119}\\-3x+y=\frac{-191}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-40}{13}\\2x-y=\frac{-62}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{103}{112}-3x\\6x+y=\frac{59}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-230}{21}-6x\\-5x-3y=\frac{23}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{492}{77}-5x\\5x-y=\frac{536}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-43}{2}\\x=-y+\frac{7}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-1016}{187}\\-2x=4y+\frac{-984}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{26}{19}+2x\\-x-3y=\frac{-73}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-4y=\frac{-27}{2}\\-x-3y=\frac{1}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{50}{11}\\5x+y=\frac{109}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-5y=\frac{557}{65}\\4x+2y=\frac{578}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{-15}{13})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-11}{16}\\-2x-6y=\frac{-47}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{13}{16})\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-822}{119}\\-3x+y=\frac{-191}{119}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-10}{7})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-40}{13}\\2x-y=\frac{-62}{39}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{103}{112}-3x\\6x+y=\frac{59}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-1}{14})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-230}{21}-6x\\-5x-3y=\frac{23}{63}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{16}{7})\}\)
7. \(\left\{\begin{matrix}3y=\frac{492}{77}-5x\\5x-y=\frac{536}{77}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-1}{7})\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-43}{2}\\x=-y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},11)\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-1016}{187}\\-2x=4y+\frac{-984}{187}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{8}{11})\}\)
10. \(\left\{\begin{matrix}5y=\frac{26}{19}+2x\\-x-3y=\frac{-73}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{19})\}\)
11. \(\left\{\begin{matrix}2x-4y=\frac{-27}{2}\\-x-3y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{50}{11}\\5x+y=\frac{109}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-1}{11})\}\)