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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{69}{10}+2x\\2x-y=\frac{-17}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-y=\frac{303}{16}\\2x-5y=\frac{-105}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-88}{9}\\x+3y=\frac{103}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{587}{170}+3x\\x+6y=\frac{-1129}{170}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{121}{9}+6x\\3x+y=\frac{-101}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{46}{7}\\-x-4y=\frac{-13}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{106}{45}\\x+6y=\frac{-338}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{17}{2}\\-x+y=\frac{23}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{1138}{143}\\-4x-4y=\frac{392}{143}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{11}{18}\\x=5y+\frac{31}{36}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=\frac{318}{5}\\-x+5y=\frac{-21}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+y=\frac{236}{15}\\-3x=-3y+\frac{-16}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{69}{10}+2x\\2x-y=\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{13}{5})\}\)
2. \(\left\{\begin{matrix}-5x-y=\frac{303}{16}\\2x-5y=\frac{-105}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-3}{16})\}\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-88}{9}\\x+3y=\frac{103}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}2y=\frac{587}{170}+3x\\x+6y=\frac{-1129}{170}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-14}{17})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{121}{9}+6x\\3x+y=\frac{-101}{18}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-10}{9})\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{46}{7}\\-x-4y=\frac{-13}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},1)\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{106}{45}\\x+6y=\frac{-338}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-16}{15})\}\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{17}{2}\\-x+y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{1138}{143}\\-4x-4y=\frac{392}{143}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-16}{11})\}\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{11}{18}\\x=5y+\frac{31}{36}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{-7}{18})\}\)
11. \(\left\{\begin{matrix}4x+4y=\frac{318}{5}\\-x+5y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(15,\frac{9}{10})\}\)
12. \(\left\{\begin{matrix}6x+y=\frac{236}{15}\\-3x=-3y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{4}{3})\}\)