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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-14}{3}-x\\-6x-4y=\frac{-4}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{310}{21}+5x\\x-3y=\frac{-67}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-115}{9}\\x+2y=\frac{-40}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+4y=-26\\-x=5y+\frac{293}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{89}{3}-6x\\x+4y=\frac{37}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+3y=\frac{819}{38}\\-4x=y+\frac{-564}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=0\\3x=y+\frac{5}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+2y=\frac{11}{2}\\-2x-y=\frac{-25}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{133}{30}-2x\\3x+y=\frac{-1}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-5}{2}+3x\\x-2y=\frac{5}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-804}{143}-6x\\x-2y=\frac{-69}{143}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-454}{171}\\-6x+y=\frac{-7}{342}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-14}{3}-x\\-6x-4y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{4}{3})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{310}{21}+5x\\x-3y=\frac{-67}{42}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-5}{14})\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-115}{9}\\x+2y=\frac{-40}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}-5x+4y=-26\\-x=5y+\frac{293}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},-11)\}\)
5. \(\left\{\begin{matrix}5y=\frac{89}{3}-6x\\x+4y=\frac{37}{3}\end{matrix}\right.\qquad V=\{(3,\frac{7}{3})\}\)
6. \(\left\{\begin{matrix}3x+3y=\frac{819}{38}\\-4x=y+\frac{-564}{19}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{-6}{19})\}\)
7. \(\left\{\begin{matrix}-6x-3y=0\\3x=y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-1)\}\)
8. \(\left\{\begin{matrix}6x+2y=\frac{11}{2}\\-2x-y=\frac{-25}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{133}{30}-2x\\3x+y=\frac{-1}{60}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-5}{2}+3x\\x-2y=\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},1)\}\)
11. \(\left\{\begin{matrix}3y=\frac{-804}{143}-6x\\x-2y=\frac{-69}{143}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-2}{11})\}\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-454}{171}\\-6x+y=\frac{-7}{342}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{11}{18})\}\)