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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-4y=\frac{-645}{112}\\-5x-y=\frac{-765}{112}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{28}{9}\\5x+5y=\frac{275}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=8-5x\\-x+6y=\frac{97}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{140}{39}\\-3x-2y=\frac{262}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+5y=\frac{53}{16}\\5x=y+\frac{-211}{48}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-1}{2}-5x\\x+2y=\frac{-11}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-71}{3}-3x\\4x-2y=\frac{-98}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-213}{17}\\x-5y=\frac{-3}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-355}{88}\\-x=-4y+\frac{97}{44}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{205}{76}-3x\\5x+y=\frac{737}{228}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-322}{51}+6x\\-3x-5y=\frac{-314}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{-72}{7}\\-x=2y+\frac{129}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-4y=\frac{-645}{112}\\-5x-y=\frac{-765}{112}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{15}{7})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{28}{9}\\5x+5y=\frac{275}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{18},3)\}\)
3. \(\left\{\begin{matrix}5y=8-5x\\-x+6y=\frac{97}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},3)\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{140}{39}\\-3x-2y=\frac{262}{39}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-8}{3})\}\)
5. \(\left\{\begin{matrix}3x+5y=\frac{53}{16}\\5x=y+\frac{-211}{48}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{17}{16})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-1}{2}-5x\\x+2y=\frac{-11}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-4}{7})\}\)
7. \(\left\{\begin{matrix}y=\frac{-71}{3}-3x\\4x-2y=\frac{-98}{3}\end{matrix}\right.\qquad V=\{(-8,\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-213}{17}\\x-5y=\frac{-3}{34}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-15}{17})\}\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-355}{88}\\-x=-4y+\frac{97}{44}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{3}{16})\}\)
10. \(\left\{\begin{matrix}3y=\frac{205}{76}-3x\\5x+y=\frac{737}{228}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{6}{19})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-322}{51}+6x\\-3x-5y=\frac{-314}{51}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{2}{3})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{-72}{7}\\-x=2y+\frac{129}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{14},-5)\}\)