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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=-10\\-2x=y+\frac{-14}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-2y=\frac{2}{57}\\x=2y+\frac{-37}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-98}{15}+4x\\-5x-y=\frac{-233}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{89}{28}+3x\\-x+5y=\frac{81}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-y=\frac{-27}{2}\\-6x-5y=\frac{261}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-3y=\frac{-31}{2}\\-6x=-y+\frac{19}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-6y=\frac{-269}{33}\\-5x=6y+\frac{-841}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-96}{11}+2x\\3x+y=\frac{-21}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-91}{88}\\2x-2y=\frac{-211}{44}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-96}{187}\\-5x-y=\frac{288}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-1636}{247}+6x\\-3x+2y=\frac{-628}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{1356}{323}-5x\\x+y=\frac{652}{323}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=-10\\-2x=y+\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},2)\}\)
2. \(\left\{\begin{matrix}2x-2y=\frac{2}{57}\\x=2y+\frac{-37}{57}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-98}{15}+4x\\-5x-y=\frac{-233}{15}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-17}{15})\}\)
4. \(\left\{\begin{matrix}5y=\frac{89}{28}+3x\\-x+5y=\frac{81}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}x-y=\frac{-27}{2}\\-6x-5y=\frac{261}{2}\end{matrix}\right.\qquad V=\{(-18,\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}5x-3y=\frac{-31}{2}\\-6x=-y+\frac{19}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{2})\}\)
7. \(\left\{\begin{matrix}-x-6y=\frac{-269}{33}\\-5x=6y+\frac{-841}{33}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{7}{11})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-96}{11}+2x\\3x+y=\frac{-21}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},3)\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-91}{88}\\2x-2y=\frac{-211}{44}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{17}{8})\}\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-96}{187}\\-5x-y=\frac{288}{187}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{-3}{17})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-1636}{247}+6x\\-3x+2y=\frac{-628}{247}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{4}{13})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{1356}{323}-5x\\x+y=\frac{652}{323}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{16}{19})\}\)