Explanation:
The equations are given below as
[tex]\begin{gathered} 2x-3=y-----(1) \\ 4x-6=2y-----(2) \end{gathered}[/tex]Step 1:
Substitute equation (1) in equation (2)
[tex]\begin{gathered} 4x-6=2y \\ 4x-6=2(2x-3) \\ 4x-6=4x-6 \\ collect\text{ similar terms, we will have} \\ 4x-4x=-6+6 \\ 0=0 \end{gathered}[/tex]Note:
If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
Hence,
The final answer is INFINITE NUMBER OF SOLUTIONS