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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{27}{77}-6x\\x-5y=\frac{537}{154}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+3y=\frac{3}{20}\\-3x=4y+\frac{13}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{339}{91}-4x\\4x+6y=\frac{-396}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{-391}{95}\\-6x=y+\frac{697}{190}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{275}{34}-5x\\x+6y=\frac{-211}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-109}{42}\\-4x+3y=\frac{16}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{13}{7}-6x\\x-y=\frac{5}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-1755}{176}\\-2x=y+\frac{-193}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-237}{247}\\-x=y+\frac{-155}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-236}{9}-4x\\5x-y=\frac{-280}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-111}{20}\\-x-6y=\frac{173}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-248}{77}-4x\\-x+4y=\frac{691}{154}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{27}{77}-6x\\x-5y=\frac{537}{154}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-9}{14})\}\)
2. \(\left\{\begin{matrix}x+3y=\frac{3}{20}\\-3x=4y+\frac{13}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{2}{15})\}\)
3. \(\left\{\begin{matrix}-y=\frac{339}{91}-4x\\4x+6y=\frac{-396}{91}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-15}{13})\}\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{-391}{95}\\-6x=y+\frac{697}{190}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{17}{10})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{275}{34}-5x\\x+6y=\frac{-211}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-19}{17})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{-109}{42}\\-4x+3y=\frac{16}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-6}{7})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{13}{7}-6x\\x-y=\frac{5}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-1}{7})\}\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-1755}{176}\\-2x=y+\frac{-193}{88}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{20}{11})\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{-237}{247}\\-x=y+\frac{-155}{247}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{9}{19})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-236}{9}-4x\\5x-y=\frac{-280}{9}\end{matrix}\right.\qquad V=\{(-6,\frac{10}{9})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-111}{20}\\-x-6y=\frac{173}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-3}{2})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-248}{77}-4x\\-x+4y=\frac{691}{154}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{9}{11})\}\)