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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{37}{30}\\-3x-4y=\frac{-64}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=\frac{7}{48}\\3x=6y+\frac{-29}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{68}{21}-2x\\-x-6y=\frac{-44}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{35}{3}-4x\\-2x-y=\frac{-112}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=-13+4x\\x-2y=\frac{25}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{-133}{85}\\-x=-y+\frac{-193}{340}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{20}{3}\\-x=-4y+\frac{4}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+2y=\frac{-188}{7}\\-x+3y=\frac{-218}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{54}{5}\\5x-2y=\frac{248}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{92}{247}+x\\-2x-2y=\frac{184}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+y=\frac{31}{2}\\2x=-5y+\frac{-5}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{83}{63}+2x\\-3x-y=\frac{-19}{42}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{37}{30}\\-3x-4y=\frac{-64}{5}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{7}{10})\}\)
2. \(\left\{\begin{matrix}5x+y=\frac{7}{48}\\3x=6y+\frac{-29}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{9}{16})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{68}{21}-2x\\-x-6y=\frac{-44}{7}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{35}{3}-4x\\-2x-y=\frac{-112}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{7}{15})\}\)
5. \(\left\{\begin{matrix}2y=-13+4x\\x-2y=\frac{25}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},-2)\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{-133}{85}\\-x=-y+\frac{-193}{340}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-2}{17})\}\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{20}{3}\\-x=-4y+\frac{4}{9}\end{matrix}\right.\qquad V=\{(-4,\frac{-8}{9})\}\)
8. \(\left\{\begin{matrix}-6x+2y=\frac{-188}{7}\\-x+3y=\frac{-218}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},-10)\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{54}{5}\\5x-2y=\frac{248}{5}\end{matrix}\right.\qquad V=\{(10,\frac{1}{5})\}\)
10. \(\left\{\begin{matrix}-y=\frac{92}{247}+x\\-2x-2y=\frac{184}{247}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-10}{19})\}\)
11. \(\left\{\begin{matrix}-6x+y=\frac{31}{2}\\2x=-5y+\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}5y=\frac{83}{63}+2x\\-3x-y=\frac{-19}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{2}{7})\}\)