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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{5}{2}-4x\\3x+3y=12\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+3y=\frac{27}{7}\\x-4y=\frac{-13}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-11}{8}\\-x+2y=\frac{1}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{81}{4}-3x\\-x+5y=\frac{-63}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{691}{72}+3x\\x-y=\frac{-49}{72}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{467}{126}+x\\-6x+3y=\frac{110}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-29}{14}-3x\\2x+6y=\frac{9}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{-230}{7}\\-4x=-y+\frac{44}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{352}{7}-5x\\-x-3y=\frac{-187}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{-113}{90}\\6x+3y=\frac{-86}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-252}{5}+x\\-6x-4y=\frac{288}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{89}{26}\\x-4y=\frac{353}{156}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{5}{2}-4x\\3x+3y=12\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{9}{2})\}\)
2. \(\left\{\begin{matrix}4x+3y=\frac{27}{7}\\x-4y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{11}{7})\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-11}{8}\\-x+2y=\frac{1}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-1}{16})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{81}{4}-3x\\-x+5y=\frac{-63}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-3)\}\)
5. \(\left\{\begin{matrix}-5y=\frac{691}{72}+3x\\x-y=\frac{-49}{72}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-17}{18})\}\)
6. \(\left\{\begin{matrix}2y=\frac{467}{126}+x\\-6x+3y=\frac{110}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{17}{9})\}\)
7. \(\left\{\begin{matrix}y=\frac{-29}{14}-3x\\2x+6y=\frac{9}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{-230}{7}\\-4x=-y+\frac{44}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},8)\}\)
9. \(\left\{\begin{matrix}-6y=\frac{352}{7}-5x\\-x-3y=\frac{-187}{14}\end{matrix}\right.\qquad V=\{(11,\frac{11}{14})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{-113}{90}\\6x+3y=\frac{-86}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-252}{5}+x\\-6x-4y=\frac{288}{5}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},-9)\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{89}{26}\\x-4y=\frac{353}{156}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-6}{13})\}\)