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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{-56}{9}\\-x=y+\frac{-32}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-207}{91}\\-2x-2y=\frac{162}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-347}{13}\\-2x+y=\frac{113}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+2y=\frac{55}{104}\\6x-4y=\frac{121}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-584}{95}\\-x+6y=\frac{-1512}{95}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-4y=\frac{-524}{143}\\x=y+\frac{-131}{143}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-37}{7}\\-6x=-y+\frac{-211}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-2y=\frac{349}{152}\\-6x+y=\frac{-317}{152}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-75}{4}\\-x-5y=\frac{-119}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+6y=\frac{82}{5}\\-2x+6y=\frac{62}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{47}{68}+x\\2x+5y=\frac{59}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=\frac{57}{14}\\-2x-4y=\frac{-127}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{-56}{9}\\-x=y+\frac{-32}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{17}{9})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-207}{91}\\-2x-2y=\frac{162}{91}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-6}{13})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-347}{13}\\-2x+y=\frac{113}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},9)\}\)
4. \(\left\{\begin{matrix}-x+2y=\frac{55}{104}\\6x-4y=\frac{121}{52}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{11}{16})\}\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-584}{95}\\-x+6y=\frac{-1512}{95}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{-13}{5})\}\)
6. \(\left\{\begin{matrix}4x-4y=\frac{-524}{143}\\x=y+\frac{-131}{143}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{5}{11})\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-37}{7}\\-6x=-y+\frac{-211}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{10}{7})\}\)
8. \(\left\{\begin{matrix}6x-2y=\frac{349}{152}\\-6x+y=\frac{-317}{152}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{-4}{19})\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-75}{4}\\-x-5y=\frac{-119}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},6)\}\)
10. \(\left\{\begin{matrix}-x+6y=\frac{82}{5}\\-2x+6y=\frac{62}{5}\end{matrix}\right.\qquad V=\{(4,\frac{17}{5})\}\)
11. \(\left\{\begin{matrix}5y=\frac{47}{68}+x\\2x+5y=\frac{59}{68}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{3}{20})\}\)
12. \(\left\{\begin{matrix}x+y=\frac{57}{14}\\-2x-4y=\frac{-127}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},5)\}\)