8. $$ \left\{\begin{array}{l}y-2 x=1 \ 14 x-7 y=0\end{array} ight. $$

Question

8. $$ \left\{\begin{array}{l}y-2 x=1 \ 14 x-7 y=0\end{array}ight. $$

UpStudy AI · Accepted Answer

1. Start with the system:
   $$
   \begin{cases}
   y - 2x = 1 \
   14x - 7y = 0
   \end{cases}
   $$

2. Solve the first equation for $$ y $$:
   $$
   y = 2x + 1
   $$

3. Substitute $$ y = 2x + 1 $$ into the second equation:
   $$
   14x - 7(2x + 1) = 0
   $$

4. Distribute and simplify:
   $$
   14x - 14x - 7 = 0
   $$
   $$
   -7 = 0
   $$

5. The result $$ -7 = 0 $$ is a contradiction, which indicates that the system has no solution.
The system has no solution.

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