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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{52}{5}-6x\\-x+2y=\frac{-76}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-173}{26}+6x\\x+y=\frac{5}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+y=\frac{73}{34}\\-3x=4y+\frac{61}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{11}{19}\\-3x-y=\frac{17}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-2y=\frac{-85}{4}\\x-5y=\frac{-437}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-5y=-11\\x=2y+\frac{-21}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-60}{133}\\-x+6y=\frac{1266}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-1355}{68}\\x+3y=\frac{375}{68}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=19-4x\\6x-y=\frac{15}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{148}{57}-2x\\-5x+y=\frac{115}{114}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{241}{152}+2x\\2x-6y=\frac{-643}{76}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-3y=\frac{1959}{112}\\x+6y=\frac{-87}{56}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{52}{5}-6x\\-x+2y=\frac{-76}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{15},-2)\}\)
2. \(\left\{\begin{matrix}5y=\frac{-173}{26}+6x\\x+y=\frac{5}{26}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-5x+y=\frac{73}{34}\\-3x=4y+\frac{61}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{11}{19}\\-3x-y=\frac{17}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{10}{19})\}\)
5. \(\left\{\begin{matrix}2x-2y=\frac{-85}{4}\\x-5y=\frac{-437}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},11)\}\)
6. \(\left\{\begin{matrix}-4x-5y=-11\\x=2y+\frac{-21}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{-60}{133}\\-x+6y=\frac{1266}{133}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{10}{7})\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-1355}{68}\\x+3y=\frac{375}{68}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{10}{17})\}\)
9. \(\left\{\begin{matrix}-3y=19-4x\\6x-y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-6)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{148}{57}-2x\\-5x+y=\frac{115}{114}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-5}{6})\}\)
11. \(\left\{\begin{matrix}y=\frac{241}{152}+2x\\2x-6y=\frac{-643}{76}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{11}{8})\}\)
12. \(\left\{\begin{matrix}6x-3y=\frac{1959}{112}\\x+6y=\frac{-87}{56}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-11}{16})\}\)