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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{67}{6}+3x\\x+y=\frac{7}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{9}{38}\\4x=-y+\frac{-42}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-77}{57}\\x=5y+\frac{-104}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-165}{304}\\-x=4y+\frac{63}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-123}{7}\\5x=-4y+\frac{37}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{74}{35}-6x\\-4x+5y=\frac{-22}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=-26+2x\\3x-y=\frac{79}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=-82\\-x=-6y+\frac{169}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-3y=\frac{49}{5}\\-5x+y=\frac{-148}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{56}{15}+3x\\-2x-y=\frac{142}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{4}{15}+4x\\-x+5y=\frac{47}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-119}{90}\\x=3y+\frac{-49}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{67}{6}+3x\\x+y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{13}{3})\}\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{9}{38}\\4x=-y+\frac{-42}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-4}{19})\}\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-77}{57}\\x=5y+\frac{-104}{57}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{1}{3})\}\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-165}{304}\\-x=4y+\frac{63}{76}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-5}{16})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-123}{7}\\5x=-4y+\frac{37}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-17}{7})\}\)
6. \(\left\{\begin{matrix}-y=\frac{74}{35}-6x\\-4x+5y=\frac{-22}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-2}{5})\}\)
7. \(\left\{\begin{matrix}-4y=-26+2x\\3x-y=\frac{79}{4}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{11}{4})\}\)
8. \(\left\{\begin{matrix}-6x-6y=-82\\-x=-6y+\frac{169}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{3},10)\}\)
9. \(\left\{\begin{matrix}4x-3y=\frac{49}{5}\\-5x+y=\frac{-148}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-13}{15})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{56}{15}+3x\\-2x-y=\frac{142}{45}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}2y=\frac{4}{15}+4x\\-x+5y=\frac{47}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-119}{90}\\x=3y+\frac{-49}{30}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{4}{9})\}\)