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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-3y=\frac{47}{11}\\-2x=y+\frac{13}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-139}{36}+3x\\-x-6y=\frac{-115}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{633}{154}+x\\-2x+4y=\frac{-214}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{112}{15}+x\\-5x-2y=\frac{326}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-323}{36}+2x\\-3x-y=\frac{-107}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+2y=\frac{-1}{14}\\4x-4y=\frac{-104}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-489}{76}+6x\\-6x+4y=\frac{-165}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-3y=8\\4x-y=\frac{-1}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-1314}{11}-6x\\-x+y=\frac{223}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{51}{28}-2x\\6x+y=\frac{-93}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-y=\frac{691}{221}\\-5x-3y=\frac{1325}{221}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{-157}{36}\\-2x-3y=\frac{-7}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-3y=\frac{47}{11}\\-2x=y+\frac{13}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-12}{11})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-139}{36}+3x\\-x-6y=\frac{-115}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{14}{9})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{633}{154}+x\\-2x+4y=\frac{-214}{77}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-11}{14})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{112}{15}+x\\-5x-2y=\frac{326}{15}\end{matrix}\right.\qquad V=\{(-4,\frac{-13}{15})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-323}{36}+2x\\-3x-y=\frac{-107}{24}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{9}{8})\}\)
6. \(\left\{\begin{matrix}x+2y=\frac{-1}{14}\\4x-4y=\frac{-104}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{17}{14})\}\)
7. \(\left\{\begin{matrix}y=\frac{-489}{76}+6x\\-6x+4y=\frac{-165}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}3x-3y=8\\4x-y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{3})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-1314}{11}-6x\\-x+y=\frac{223}{11}\end{matrix}\right.\qquad V=\{(-20,\frac{3}{11})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{51}{28}-2x\\6x+y=\frac{-93}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-3}{8})\}\)
11. \(\left\{\begin{matrix}-3x-y=\frac{691}{221}\\-5x-3y=\frac{1325}{221}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-10}{17})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{-157}{36}\\-2x-3y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{11}{18})\}\)