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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{30}{11}\\x+5y=\frac{-34}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-4y=-13\\-x-3y=\frac{-1}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-4y=\frac{-173}{35}\\-4x=6y+\frac{472}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-369}{40}\\-x=-6y+\frac{83}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-58}{3}\\-x=-4y+\frac{-134}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{81}{22}-2x\\-6x+y=\frac{-299}{44}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-260}{57}-5x\\x-2y=\frac{214}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-359}{104}+x\\-5x+2y=\frac{-137}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-696}{95}-6x\\-x-4y=\frac{236}{95}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-4y=\frac{256}{33}\\-x=-y+\frac{-179}{66}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-92}{7}\\-6x-y=\frac{38}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{9}{5}\\5x=-y+\frac{-26}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{30}{11}\\x+5y=\frac{-34}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{11})\}\)
2. \(\left\{\begin{matrix}5x-4y=-13\\-x-3y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{4})\}\)
3. \(\left\{\begin{matrix}x-4y=\frac{-173}{35}\\-4x=6y+\frac{472}{35}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{2}{7})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-369}{40}\\-x=-6y+\frac{83}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{7}{8})\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{-58}{3}\\-x=-4y+\frac{-134}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},-4)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{81}{22}-2x\\-6x+y=\frac{-299}{44}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-260}{57}-5x\\x-2y=\frac{214}{57}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-5}{3})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-359}{104}+x\\-5x+2y=\frac{-137}{52}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-9}{8})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-696}{95}-6x\\-x-4y=\frac{236}{95}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-8}{19})\}\)
10. \(\left\{\begin{matrix}2x-4y=\frac{256}{33}\\-x=-y+\frac{-179}{66}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-92}{7}\\-6x-y=\frac{38}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{18}{7})\}\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{9}{5}\\5x=-y+\frac{-26}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{5})\}\)