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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{-305}{9}\\-x+y=\frac{-68}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{321}{35}+x\\6x+3y=\frac{-246}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{938}{143}\\x=-3y+\frac{58}{143}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-166}{15}\\2x-y=\frac{103}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{146}{91}\\x=-5y+\frac{-1301}{182}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-135}{11}\\x+5y=\frac{21}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-37}{44}-5x\\x+4y=\frac{-69}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{1005}{187}-2x\\3x+y=\frac{-371}{187}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-109}{18}\\-5x=-4y+\frac{1}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{116}{13}\\-6x=2y+\frac{-32}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{1257}{208}+3x\\-x+3y=\frac{-1181}{208}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-64}{11}\\-x=3y+\frac{62}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{-305}{9}\\-x+y=\frac{-68}{9}\end{matrix}\right.\qquad V=\{(7,\frac{-5}{9})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{321}{35}+x\\6x+3y=\frac{-246}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-16}{5})\}\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{938}{143}\\x=-3y+\frac{58}{143}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{6}{11})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-166}{15}\\2x-y=\frac{103}{45}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{3}{5})\}\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{146}{91}\\x=-5y+\frac{-1301}{182}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-17}{14})\}\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-135}{11}\\x+5y=\frac{21}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{12}{11})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-37}{44}-5x\\x+4y=\frac{-69}{44}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-7}{16})\}\)
8. \(\left\{\begin{matrix}5y=\frac{1005}{187}-2x\\3x+y=\frac{-371}{187}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{17}{11})\}\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-109}{18}\\-5x=-4y+\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{19}{18})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{116}{13}\\-6x=2y+\frac{-32}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},-2)\}\)
11. \(\left\{\begin{matrix}-6y=\frac{1257}{208}+3x\\-x+3y=\frac{-1181}{208}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-20}{13})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-64}{11}\\-x=3y+\frac{62}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},-2)\}\)