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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-1}{18}-x\\3x+3y=\frac{-43}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-277}{19}-4x\\x+6y=\frac{-391}{76}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+y=\frac{-22}{57}\\3x-4y=\frac{67}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{269}{165}\\6x=-6y+\frac{-632}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=17\\3x-3y=\frac{-27}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{7}{6}\\-x-6y=\frac{-77}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{-352}{35}\\-x=y+\frac{-32}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-2y=\frac{89}{4}\\-3x=-y+\frac{-49}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-67}{45}-2x\\-2x+5y=\frac{-37}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+2y=\frac{31}{6}\\-x=-5y+\frac{41}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{281}{39}+2x\\2x+y=\frac{-29}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-5y=\frac{-377}{44}\\x=-y+\frac{-83}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-1}{18}-x\\3x+3y=\frac{-43}{6}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{-7}{6})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-277}{19}-4x\\x+6y=\frac{-391}{76}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-6}{19})\}\)
3. \(\left\{\begin{matrix}x+y=\frac{-22}{57}\\3x-4y=\frac{67}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{269}{165}\\6x=-6y+\frac{-632}{55}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-11}{15})\}\)
5. \(\left\{\begin{matrix}-6x+y=17\\3x-3y=\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},2)\}\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{7}{6}\\-x-6y=\frac{-77}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{-352}{35}\\-x=y+\frac{-32}{35}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{12}{7})\}\)
8. \(\left\{\begin{matrix}3x-2y=\frac{89}{4}\\-3x=-y+\frac{-49}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-10)\}\)
9. \(\left\{\begin{matrix}y=\frac{-67}{45}-2x\\-2x+5y=\frac{-37}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-14}{15})\}\)
10. \(\left\{\begin{matrix}2x+2y=\frac{31}{6}\\-x=-5y+\frac{41}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{12},1)\}\)
11. \(\left\{\begin{matrix}6y=\frac{281}{39}+2x\\2x+y=\frac{-29}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{12}{13})\}\)
12. \(\left\{\begin{matrix}3x-5y=\frac{-377}{44}\\x=-y+\frac{-83}{44}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{4}{11})\}\)