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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{117}{5}\\x=-3y+\frac{-283}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{73}{28}\\4x+4y=\frac{-17}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-238}{57}\\5x+2y=\frac{-17}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-186}{19}+6x\\-x+3y=\frac{17}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{819}{170}\\x=2y+\frac{-259}{170}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-56}{9}\\3x+6y=\frac{5}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-223}{38}\\6x-y=\frac{-158}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{49}{9}\\2x=2y+\frac{28}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{95}{42}\\-6x=y+\frac{-631}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+4y=\frac{162}{19}\\x+2y=\frac{105}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-26}{21}+2x\\-6x+y=\frac{46}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-283}{28}\\x+y=\frac{-17}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{117}{5}\\x=-3y+\frac{-283}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},-5)\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{73}{28}\\4x+4y=\frac{-17}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{9}{14})\}\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-238}{57}\\5x+2y=\frac{-17}{57}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-4}{3})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-186}{19}+6x\\-x+3y=\frac{17}{19}\end{matrix}\right.\qquad V=\{(1,\frac{12}{19})\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{819}{170}\\x=2y+\frac{-259}{170}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{7}{20})\}\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-56}{9}\\3x+6y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-1}{9})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-223}{38}\\6x-y=\frac{-158}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-13}{19})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{49}{9}\\2x=2y+\frac{28}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},-1)\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{95}{42}\\-6x=y+\frac{-631}{42}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{13}{6})\}\)
10. \(\left\{\begin{matrix}4x+4y=\frac{162}{19}\\x+2y=\frac{105}{38}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{12}{19})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-26}{21}+2x\\-6x+y=\frac{46}{63}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-5}{9})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-283}{28}\\x+y=\frac{-17}{28}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-5}{4})\}\)