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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{83}{3}+6x\\5x-y=\frac{-47}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-37}{42}\\x=2y+\frac{277}{126}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=-34-6x\\-x+4y=\frac{-217}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{55}{6}+2x\\x-4y=\frac{-16}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{266}{15}\\x=-6y+\frac{316}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{404}{15}+6x\\-x-y=\frac{74}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-173}{140}+3x\\-2x-y=\frac{-81}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{34}{5}-3x\\-x+2y=\frac{9}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{213}{10}\\-3x=2y+\frac{-283}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{-1}{6}\\4x=-5y+\frac{121}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-774}{143}\\-x=6y+\frac{954}{143}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{-83}{10}\\-2x-y=\frac{337}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{83}{3}+6x\\5x-y=\frac{-47}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{19}{6})\}\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-37}{42}\\x=2y+\frac{277}{126}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-7}{9})\}\)
3. \(\left\{\begin{matrix}2y=-34-6x\\-x+4y=\frac{-217}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-18)\}\)
4. \(\left\{\begin{matrix}6y=\frac{55}{6}+2x\\x-4y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{3}{4})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{266}{15}\\x=-6y+\frac{316}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{17}{5})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{404}{15}+6x\\-x-y=\frac{74}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-173}{140}+3x\\-2x-y=\frac{-81}{70}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-1}{7})\}\)
8. \(\left\{\begin{matrix}4y=\frac{34}{5}-3x\\-x+2y=\frac{9}{10}\end{matrix}\right.\qquad V=\{(1,\frac{19}{20})\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{213}{10}\\-3x=2y+\frac{-283}{30}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{20}{3})\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{-1}{6}\\4x=-5y+\frac{121}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{2})\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-774}{143}\\-x=6y+\frac{954}{143}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{-18}{13})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{-83}{10}\\-2x-y=\frac{337}{30}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-19}{10})\}\)