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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=-2+x\\-5x+3y=\frac{-43}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{787}{152}\\x+2y=\frac{43}{76}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{53}{14}+x\\-2x-6y=\frac{-59}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-34}{13}+4x\\x+6y=\frac{110}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+4y=\frac{-83}{6}\\5x-y=\frac{-71}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-225}{13}+6x\\-x-6y=\frac{-538}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{1860}{133}\\-x-4y=\frac{1341}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=\frac{6}{7}\\-5x=2y+\frac{2}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{269}{22}\\x=-6y+\frac{199}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{35}{4}\\x=-y+\frac{1}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=-56+6x\\x-y=\frac{73}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-219}{112}\\-x=-6y+\frac{339}{56}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=-2+x\\-5x+3y=\frac{-43}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{787}{152}\\x+2y=\frac{43}{76}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{5}{8})\}\)
3. \(\left\{\begin{matrix}5y=\frac{53}{14}+x\\-2x-6y=\frac{-59}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{14},1)\}\)
4. \(\left\{\begin{matrix}5y=\frac{-34}{13}+4x\\x+6y=\frac{110}{13}\end{matrix}\right.\qquad V=\{(2,\frac{14}{13})\}\)
5. \(\left\{\begin{matrix}5x+4y=\frac{-83}{6}\\5x-y=\frac{-71}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-19}{12})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-225}{13}+6x\\-x-6y=\frac{-538}{13}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},7)\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{1860}{133}\\-x-4y=\frac{1341}{133}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-17}{7})\}\)
8. \(\left\{\begin{matrix}-x-2y=\frac{6}{7}\\-5x=2y+\frac{2}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{269}{22}\\x=-6y+\frac{199}{22}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{7}{4})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{35}{4}\\x=-y+\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},-1)\}\)
11. \(\left\{\begin{matrix}4y=-56+6x\\x-y=\frac{73}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-17}{2})\}\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-219}{112}\\-x=-6y+\frac{339}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{15}{16})\}\)