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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{-38}{3}\\5x-5y=\frac{115}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-116}{85}-6x\\6x+y=\frac{479}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{-78}{7}\\5x=-y+\frac{19}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-229}{102}\\x=-3y+\frac{-233}{102}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-3y=\frac{23}{12}\\2x+y=\frac{-37}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{31}{15}+x\\2x+2y=\frac{-46}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-185}{126}\\x+6y=\frac{-137}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-2y=\frac{-148}{45}\\-4x=y+\frac{26}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=\frac{13}{3}\\-x=y+\frac{-13}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-342}{11}+5x\\x-5y=\frac{-486}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{21}{5}+x\\-6x+4y=\frac{46}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-109}{136}-2x\\x+4y=\frac{-3}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{-38}{3}\\5x-5y=\frac{115}{3}\end{matrix}\right.\qquad V=\{(\frac{20}{3},-1)\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-116}{85}-6x\\6x+y=\frac{479}{85}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{7}{5})\}\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{-78}{7}\\5x=-y+\frac{19}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-16}{7})\}\)
4. \(\left\{\begin{matrix}5x+2y=\frac{-229}{102}\\x=-3y+\frac{-233}{102}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-12}{17})\}\)
5. \(\left\{\begin{matrix}5x-3y=\frac{23}{12}\\2x+y=\frac{-37}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{4})\}\)
6. \(\left\{\begin{matrix}y=\frac{31}{15}+x\\2x+2y=\frac{-46}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{4}{15})\}\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-185}{126}\\x+6y=\frac{-137}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-5}{9})\}\)
8. \(\left\{\begin{matrix}2x-2y=\frac{-148}{45}\\-4x=y+\frac{26}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}4x+4y=\frac{13}{3}\\-x=y+\frac{-13}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-5}{4})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-342}{11}+5x\\x-5y=\frac{-486}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},9)\}\)
11. \(\left\{\begin{matrix}4y=\frac{21}{5}+x\\-6x+4y=\frac{46}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-109}{136}-2x\\x+4y=\frac{-3}{34}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{1}{8})\}\)