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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-6y=\frac{516}{7}\\-x=-y+\frac{124}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{-1299}{190}\\-3x=y+\frac{-219}{190}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-365}{72}+5x\\-5x+y=\frac{-125}{72}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{200}{21}\\5x=-4y+\frac{421}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{31}{8}\\x=3y+\frac{1}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{18}{7}+x\\-5x-4y=\frac{27}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-1907}{187}\\-x=6y+\frac{1888}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{85}{6}+2x\\-2x-4y=\frac{110}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{232}{105}\\-x-y=\frac{32}{105}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-35}{2}\\x=-y+\frac{7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-87}{19}\\5x-y=\frac{-39}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-5}{2}\\-x+4y=\frac{11}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-6y=\frac{516}{7}\\-x=-y+\frac{124}{7}\end{matrix}\right.\qquad V=\{(-15,\frac{19}{7})\}\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{-1299}{190}\\-3x=y+\frac{-219}{190}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-18}{19})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-365}{72}+5x\\-5x+y=\frac{-125}{72}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-10}{9})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{200}{21}\\5x=-4y+\frac{421}{21}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{7}{3})\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{31}{8}\\x=3y+\frac{1}{16}\end{matrix}\right.\qquad V=\{(1,\frac{5}{16})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{18}{7}+x\\-5x-4y=\frac{27}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-1907}{187}\\-x=6y+\frac{1888}{187}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-17}{11})\}\)
8. \(\left\{\begin{matrix}-y=\frac{85}{6}+2x\\-2x-4y=\frac{110}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-15}{2})\}\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{232}{105}\\-x-y=\frac{32}{105}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{4}{15})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-35}{2}\\x=-y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},4)\}\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-87}{19}\\5x-y=\frac{-39}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},1)\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-5}{2}\\-x+4y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{1}{2})\}\)