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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{17}{5}+3x\\-x+6y=\frac{353}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+4y=\frac{313}{68}\\-x=-y+\frac{-113}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-213}{8}-5x\\4x-5y=\frac{-225}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-33}{5}+4x\\-x+6y=\frac{21}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{87}{38}+4x\\-x-y=\frac{17}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{51}{10}\\-4x=5y+\frac{-9}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-573}{187}\\5x+y=\frac{1417}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-y=\frac{-31}{44}\\5x=4y+\frac{-457}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-95}{4}\\x+3y=\frac{49}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-251}{12}\\-x=4y+\frac{-25}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{4}{15}\\-x-y=\frac{-2}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=-18-5x\\5x+y=\frac{-29}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{17}{5}+3x\\-x+6y=\frac{353}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{16}{5})\}\)
2. \(\left\{\begin{matrix}5x+4y=\frac{313}{68}\\-x=-y+\frac{-113}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-7}{17})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-213}{8}-5x\\4x-5y=\frac{-225}{8}\end{matrix}\right.\qquad V=\{(-5,\frac{13}{8})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-33}{5}+4x\\-x+6y=\frac{21}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{87}{38}+4x\\-x-y=\frac{17}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{51}{10}\\-4x=5y+\frac{-9}{2}\end{matrix}\right.\qquad V=\{(1,\frac{1}{10})\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-573}{187}\\5x+y=\frac{1417}{187}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{-18}{17})\}\)
8. \(\left\{\begin{matrix}6x-y=\frac{-31}{44}\\5x=4y+\frac{-457}{88}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{16}{11})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-95}{4}\\x+3y=\frac{49}{4}\end{matrix}\right.\qquad V=\{(10,\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-251}{12}\\-x=4y+\frac{-25}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{19}{12})\}\)
11. \(\left\{\begin{matrix}-4x-3y=\frac{4}{15}\\-x-y=\frac{-2}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{4}{5})\}\)
12. \(\left\{\begin{matrix}-6y=-18-5x\\5x+y=\frac{-29}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{1}{2})\}\)